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Finding the Fourth Proportional to 10,815.54, 14,915.43 and 6,829.71

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Solution

The fourth proportional to 10,815.54, 14,915.43 and 6,829.71 is: 9,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.54 : 14,915.43 = 6,829.71 : x
  2. Step 2: Convert to fraction form
    10,815.54/14,915.43 = 6,829.71/x
  3. Step 3: Cross multiply
    10,815.54x = 14,915.43 × 6,829.71
  4. Step 4: Simplify right side
    10,815.54x = 101,868,061.43
  5. Step 5: Solve for x
    x = 101,868,061.43/10,815.54
  6. Step 6: Final answer
    x = 9,418.68

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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.