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Finding the Fourth Proportional to 8,210.40, 12,316.32 and 3,016.32

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Solution

The fourth proportional to 8,210.40, 12,316.32 and 3,016.32 is: 4,524.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.40 : 12,316.32 = 3,016.32 : x
  2. Step 2: Convert to fraction form
    8,210.40/12,316.32 = 3,016.32/x
  3. Step 3: Cross multiply
    8,210.40x = 12,316.32 × 3,016.32
  4. Step 4: Simplify right side
    8,210.40x = 37,149,962.34
  5. Step 5: Solve for x
    x = 37,149,962.34/8,210.40
  6. Step 6: Final answer
    x = 4,524.74

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