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Finding the Fourth Proportional to 10,587, 14,610.15 and 5,871.29

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Solution

The fourth proportional to 10,587, 14,610.15 and 5,871.29 is: 8,102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587 : 14,610.15 = 5,871.29 : x
  2. Step 2: Convert to fraction form
    10,587/14,610.15 = 5,871.29/x
  3. Step 3: Cross multiply
    10,587x = 14,610.15 × 5,871.29
  4. Step 4: Simplify right side
    10,587x = 85,780,427.59
  5. Step 5: Solve for x
    x = 85,780,427.59/10,587
  6. Step 6: Final answer
    x = 8,102.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.