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Finding the Fourth Proportional to 10,644.13, 14,686.65 and 6,167.62

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Solution

The fourth proportional to 10,644.13, 14,686.65 and 6,167.62 is: 8,510.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.13 : 14,686.65 = 6,167.62 : x
  2. Step 2: Convert to fraction form
    10,644.13/14,686.65 = 6,167.62/x
  3. Step 3: Cross multiply
    10,644.13x = 14,686.65 × 6,167.62
  4. Step 4: Simplify right side
    10,644.13x = 90,581,676.27
  5. Step 5: Solve for x
    x = 90,581,676.27/10,644.13
  6. Step 6: Final answer
    x = 8,510.01

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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.