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Finding the Fourth Proportional to 8,538.40, 12,807.60 and 8,210.35

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Solution

The fourth proportional to 8,538.40, 12,807.60 and 8,210.35 is: 12,315.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.40 : 12,807.60 = 8,210.35 : x
  2. Step 2: Convert to fraction form
    8,538.40/12,807.60 = 8,210.35/x
  3. Step 3: Cross multiply
    8,538.40x = 12,807.60 × 8,210.35
  4. Step 4: Simplify right side
    8,538.40x = 105,154,878.66
  5. Step 5: Solve for x
    x = 105,154,878.66/8,538.40
  6. Step 6: Final answer
    x = 12,315.53

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.