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Finding the Fourth Proportional to 10,460.77, 15,689.42 and 3,440.87

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Solution

The fourth proportional to 10,460.77, 15,689.42 and 3,440.87 is: 5,160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.77 : 15,689.42 = 3,440.87 : x
  2. Step 2: Convert to fraction form
    10,460.77/15,689.42 = 3,440.87/x
  3. Step 3: Cross multiply
    10,460.77x = 15,689.42 × 3,440.87
  4. Step 4: Simplify right side
    10,460.77x = 53,985,182.59
  5. Step 5: Solve for x
    x = 53,985,182.59/10,460.77
  6. Step 6: Final answer
    x = 5,160.73

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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.