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Finding the Fourth Proportional to 10,572.93, 15,825.92 and 7,438.41

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Solution

The fourth proportional to 10,572.93, 15,825.92 and 7,438.41 is: 11,134.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.93 : 15,825.92 = 7,438.41 : x
  2. Step 2: Convert to fraction form
    10,572.93/15,825.92 = 7,438.41/x
  3. Step 3: Cross multiply
    10,572.93x = 15,825.92 × 7,438.41
  4. Step 4: Simplify right side
    10,572.93x = 117,719,644.40
  5. Step 5: Solve for x
    x = 117,719,644.40/10,572.93
  6. Step 6: Final answer
    x = 11,134.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.