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Finding the Fourth Proportional to 10,915.65, 15,047.71 and 8,678.43

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Solution

The fourth proportional to 10,915.65, 15,047.71 and 8,678.43 is: 11,963.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.65 : 15,047.71 = 8,678.43 : x
  2. Step 2: Convert to fraction form
    10,915.65/15,047.71 = 8,678.43/x
  3. Step 3: Cross multiply
    10,915.65x = 15,047.71 × 8,678.43
  4. Step 4: Simplify right side
    10,915.65x = 130,590,476.20
  5. Step 5: Solve for x
    x = 130,590,476.20/10,915.65
  6. Step 6: Final answer
    x = 11,963.60

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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.