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Finding the Fourth Proportional to 10,986.60, 16,477.92 and 5,438.16

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Solution

The fourth proportional to 10,986.60, 16,477.92 and 5,438.16 is: 8,156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.60 : 16,477.92 = 5,438.16 : x
  2. Step 2: Convert to fraction form
    10,986.60/16,477.92 = 5,438.16/x
  3. Step 3: Cross multiply
    10,986.60x = 16,477.92 × 5,438.16
  4. Step 4: Simplify right side
    10,986.60x = 89,609,565.43
  5. Step 5: Solve for x
    x = 89,609,565.43/10,986.60
  6. Step 6: Final answer
    x = 8,156.26

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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.