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Finding the Fourth Proportional to 10,972.96, 16,442.94 and 6,585.64

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Solution

The fourth proportional to 10,972.96, 16,442.94 and 6,585.64 is: 9,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.96 : 16,442.94 = 6,585.64 : x
  2. Step 2: Convert to fraction form
    10,972.96/16,442.94 = 6,585.64/x
  3. Step 3: Cross multiply
    10,972.96x = 16,442.94 × 6,585.64
  4. Step 4: Simplify right side
    10,972.96x = 108,287,283.38
  5. Step 5: Solve for x
    x = 108,287,283.38/10,972.96
  6. Step 6: Final answer
    x = 9,868.56

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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.