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Finding the Fourth Proportional to 10,438.29, 15,660 and 3,042.82

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Solution

The fourth proportional to 10,438.29, 15,660 and 3,042.82 is: 4,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.29 : 15,660 = 3,042.82 : x
  2. Step 2: Convert to fraction form
    10,438.29/15,660 = 3,042.82/x
  3. Step 3: Cross multiply
    10,438.29x = 15,660 × 3,042.82
  4. Step 4: Simplify right side
    10,438.29x = 47,650,561.20
  5. Step 5: Solve for x
    x = 47,650,561.20/10,438.29
  6. Step 6: Final answer
    x = 4,564.98

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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.