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Finding the Fourth Proportional to 10,503.17, 15,751.32 and 3,838.13

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Solution

The fourth proportional to 10,503.17, 15,751.32 and 3,838.13 is: 5,755.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.17 : 15,751.32 = 3,838.13 : x
  2. Step 2: Convert to fraction form
    10,503.17/15,751.32 = 3,838.13/x
  3. Step 3: Cross multiply
    10,503.17x = 15,751.32 × 3,838.13
  4. Step 4: Simplify right side
    10,503.17x = 60,455,613.83
  5. Step 5: Solve for x
    x = 60,455,613.83/10,503.17
  6. Step 6: Final answer
    x = 5,755.94

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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.