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Finding the Fourth Proportional to 10,876, 15,008.88 and 6,460

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Solution

The fourth proportional to 10,876, 15,008.88 and 6,460 is: 8,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876 : 15,008.88 = 6,460 : x
  2. Step 2: Convert to fraction form
    10,876/15,008.88 = 6,460/x
  3. Step 3: Cross multiply
    10,876x = 15,008.88 × 6,460
  4. Step 4: Simplify right side
    10,876x = 96,957,364.80
  5. Step 5: Solve for x
    x = 96,957,364.80/10,876
  6. Step 6: Final answer
    x = 8,914.80

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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.