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Finding the Fourth Proportional to 10,641.56, 14,686.50 and 6,165.24

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Solution

The fourth proportional to 10,641.56, 14,686.50 and 6,165.24 is: 8,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.56 : 14,686.50 = 6,165.24 : x
  2. Step 2: Convert to fraction form
    10,641.56/14,686.50 = 6,165.24/x
  3. Step 3: Cross multiply
    10,641.56x = 14,686.50 × 6,165.24
  4. Step 4: Simplify right side
    10,641.56x = 90,545,797.26
  5. Step 5: Solve for x
    x = 90,545,797.26/10,641.56
  6. Step 6: Final answer
    x = 8,508.70

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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.