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Finding the Fourth Proportional to 10,771.92, 14,862.60 and 6,578.64

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Solution

The fourth proportional to 10,771.92, 14,862.60 and 6,578.64 is: 9,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.92 : 14,862.60 = 6,578.64 : x
  2. Step 2: Convert to fraction form
    10,771.92/14,862.60 = 6,578.64/x
  3. Step 3: Cross multiply
    10,771.92x = 14,862.60 × 6,578.64
  4. Step 4: Simplify right side
    10,771.92x = 97,775,694.86
  5. Step 5: Solve for x
    x = 97,775,694.86/10,771.92
  6. Step 6: Final answer
    x = 9,076.91

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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.