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Finding the Fourth Proportional to 11,306.30, 16,957.01 and 7,140.74

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Solution

The fourth proportional to 11,306.30, 16,957.01 and 7,140.74 is: 10,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.30 : 16,957.01 = 7,140.74 : x
  2. Step 2: Convert to fraction form
    11,306.30/16,957.01 = 7,140.74/x
  3. Step 3: Cross multiply
    11,306.30x = 16,957.01 × 7,140.74
  4. Step 4: Simplify right side
    11,306.30x = 121,085,479.10
  5. Step 5: Solve for x
    x = 121,085,479.10/11,306.30
  6. Step 6: Final answer
    x = 10,709.56

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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.