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Finding the Fourth Proportional to 11,400.54, 15,732.81 and 6,684.90

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Solution

The fourth proportional to 11,400.54, 15,732.81 and 6,684.90 is: 9,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400.54 : 15,732.81 = 6,684.90 : x
  2. Step 2: Convert to fraction form
    11,400.54/15,732.81 = 6,684.90/x
  3. Step 3: Cross multiply
    11,400.54x = 15,732.81 × 6,684.90
  4. Step 4: Simplify right side
    11,400.54x = 105,172,261.57
  5. Step 5: Solve for x
    x = 105,172,261.57/11,400.54
  6. Step 6: Final answer
    x = 9,225.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.