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Finding the Fourth Proportional to 10,292.57, 15,438.71 and 2,501.45

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Solution

The fourth proportional to 10,292.57, 15,438.71 and 2,501.45 is: 3,752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.57 : 15,438.71 = 2,501.45 : x
  2. Step 2: Convert to fraction form
    10,292.57/15,438.71 = 2,501.45/x
  3. Step 3: Cross multiply
    10,292.57x = 15,438.71 × 2,501.45
  4. Step 4: Simplify right side
    10,292.57x = 38,619,161.13
  5. Step 5: Solve for x
    x = 38,619,161.13/10,292.57
  6. Step 6: Final answer
    x = 3,752.14

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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.