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Finding the Fourth Proportional to 10,287.92, 15,438.18 and 4,444.40

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Solution

The fourth proportional to 10,287.92, 15,438.18 and 4,444.40 is: 6,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.92 : 15,438.18 = 4,444.40 : x
  2. Step 2: Convert to fraction form
    10,287.92/15,438.18 = 4,444.40/x
  3. Step 3: Cross multiply
    10,287.92x = 15,438.18 × 4,444.40
  4. Step 4: Simplify right side
    10,287.92x = 68,613,447.19
  5. Step 5: Solve for x
    x = 68,613,447.19/10,287.92
  6. Step 6: Final answer
    x = 6,669.32

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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.