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Finding the Fourth Proportional to 10,505.25, 14,472.59 and 7,313.04

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Solution

The fourth proportional to 10,505.25, 14,472.59 and 7,313.04 is: 10,074.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.25 : 14,472.59 = 7,313.04 : x
  2. Step 2: Convert to fraction form
    10,505.25/14,472.59 = 7,313.04/x
  3. Step 3: Cross multiply
    10,505.25x = 14,472.59 × 7,313.04
  4. Step 4: Simplify right side
    10,505.25x = 105,838,593.01
  5. Step 5: Solve for x
    x = 105,838,593.01/10,505.25
  6. Step 6: Final answer
    x = 10,074.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.