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Finding the Fourth Proportional to 10,502.45, 15,753.68 and 7,205.55

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Solution

The fourth proportional to 10,502.45, 15,753.68 and 7,205.55 is: 10,808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.45 : 15,753.68 = 7,205.55 : x
  2. Step 2: Convert to fraction form
    10,502.45/15,753.68 = 7,205.55/x
  3. Step 3: Cross multiply
    10,502.45x = 15,753.68 × 7,205.55
  4. Step 4: Simplify right side
    10,502.45x = 113,513,814.13
  5. Step 5: Solve for x
    x = 113,513,814.13/10,502.45
  6. Step 6: Final answer
    x = 10,808.32

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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.