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Finding the Fourth Proportional to 10,153.17, 15,225.71 and 3,909.69

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Solution

The fourth proportional to 10,153.17, 15,225.71 and 3,909.69 is: 5,862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.17 : 15,225.71 = 3,909.69 : x
  2. Step 2: Convert to fraction form
    10,153.17/15,225.71 = 3,909.69/x
  3. Step 3: Cross multiply
    10,153.17x = 15,225.71 × 3,909.69
  4. Step 4: Simplify right side
    10,153.17x = 59,527,786.58
  5. Step 5: Solve for x
    x = 59,527,786.58/10,153.17
  6. Step 6: Final answer
    x = 5,862.98

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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.