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Finding the Fourth Proportional to 10,307.52, 14,217.12 and 7,277.04

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Solution

The fourth proportional to 10,307.52, 14,217.12 and 7,277.04 is: 10,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.52 : 14,217.12 = 7,277.04 : x
  2. Step 2: Convert to fraction form
    10,307.52/14,217.12 = 7,277.04/x
  3. Step 3: Cross multiply
    10,307.52x = 14,217.12 × 7,277.04
  4. Step 4: Simplify right side
    10,307.52x = 103,458,550.92
  5. Step 5: Solve for x
    x = 103,458,550.92/10,307.52
  6. Step 6: Final answer
    x = 10,037.19

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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.