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Finding the Fourth Proportional to 10,689.60, 16,020.24 and 4,442.40

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Solution

The fourth proportional to 10,689.60, 16,020.24 and 4,442.40 is: 6,657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.60 : 16,020.24 = 4,442.40 : x
  2. Step 2: Convert to fraction form
    10,689.60/16,020.24 = 4,442.40/x
  3. Step 3: Cross multiply
    10,689.60x = 16,020.24 × 4,442.40
  4. Step 4: Simplify right side
    10,689.60x = 71,168,314.18
  5. Step 5: Solve for x
    x = 71,168,314.18/10,689.60
  6. Step 6: Final answer
    x = 6,657.72

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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.