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Finding the Fourth Proportional to 10,686.60, 16,019.10 and 6,301.80

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Solution

The fourth proportional to 10,686.60, 16,019.10 and 6,301.80 is: 9,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.60 : 16,019.10 = 6,301.80 : x
  2. Step 2: Convert to fraction form
    10,686.60/16,019.10 = 6,301.80/x
  3. Step 3: Cross multiply
    10,686.60x = 16,019.10 × 6,301.80
  4. Step 4: Simplify right side
    10,686.60x = 100,949,164.38
  5. Step 5: Solve for x
    x = 100,949,164.38/10,686.60
  6. Step 6: Final answer
    x = 9,446.33

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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.