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Finding the Fourth Proportional to 10,869.60, 16,301.20 and 4,293.60

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Solution

The fourth proportional to 10,869.60, 16,301.20 and 4,293.60 is: 6,439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.60 : 16,301.20 = 4,293.60 : x
  2. Step 2: Convert to fraction form
    10,869.60/16,301.20 = 4,293.60/x
  3. Step 3: Cross multiply
    10,869.60x = 16,301.20 × 4,293.60
  4. Step 4: Simplify right side
    10,869.60x = 69,990,832.32
  5. Step 5: Solve for x
    x = 69,990,832.32/10,869.60
  6. Step 6: Final answer
    x = 6,439.14

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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.