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Finding the Fourth Proportional to 8,277.40, 12,416.10 and 7,802.20

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Solution

The fourth proportional to 8,277.40, 12,416.10 and 7,802.20 is: 11,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.40 : 12,416.10 = 7,802.20 : x
  2. Step 2: Convert to fraction form
    8,277.40/12,416.10 = 7,802.20/x
  3. Step 3: Cross multiply
    8,277.40x = 12,416.10 × 7,802.20
  4. Step 4: Simplify right side
    8,277.40x = 96,872,895.42
  5. Step 5: Solve for x
    x = 96,872,895.42/8,277.40
  6. Step 6: Final answer
    x = 11,703.30

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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.