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Finding the Fourth Proportional to 11,345.47, 15,658.11 and 6,868.40

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Solution

The fourth proportional to 11,345.47, 15,658.11 and 6,868.40 is: 9,479.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.47 : 15,658.11 = 6,868.40 : x
  2. Step 2: Convert to fraction form
    11,345.47/15,658.11 = 6,868.40/x
  3. Step 3: Cross multiply
    11,345.47x = 15,658.11 × 6,868.40
  4. Step 4: Simplify right side
    11,345.47x = 107,546,084.43
  5. Step 5: Solve for x
    x = 107,546,084.43/11,345.47
  6. Step 6: Final answer
    x = 9,479.21

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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.