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Finding the Fourth Proportional to 10,194.90, 15,253.71 and 6,037.14

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Solution

The fourth proportional to 10,194.90, 15,253.71 and 6,037.14 is: 9,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.90 : 15,253.71 = 6,037.14 : x
  2. Step 2: Convert to fraction form
    10,194.90/15,253.71 = 6,037.14/x
  3. Step 3: Cross multiply
    10,194.90x = 15,253.71 × 6,037.14
  4. Step 4: Simplify right side
    10,194.90x = 92,088,782.79
  5. Step 5: Solve for x
    x = 92,088,782.79/10,194.90
  6. Step 6: Final answer
    x = 9,032.83

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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.