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Finding the Fourth Proportional to 10,084.69, 15,113.16 and 5,143.93

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Solution

The fourth proportional to 10,084.69, 15,113.16 and 5,143.93 is: 7,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.69 : 15,113.16 = 5,143.93 : x
  2. Step 2: Convert to fraction form
    10,084.69/15,113.16 = 5,143.93/x
  3. Step 3: Cross multiply
    10,084.69x = 15,113.16 × 5,143.93
  4. Step 4: Simplify right side
    10,084.69x = 77,741,037.12
  5. Step 5: Solve for x
    x = 77,741,037.12/10,084.69
  6. Step 6: Final answer
    x = 7,708.82

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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.