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Finding the Fourth Proportional to 10,878, 15,011.68 and 5,910

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Solution

The fourth proportional to 10,878, 15,011.68 and 5,910 is: 8,155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878 : 15,011.68 = 5,910 : x
  2. Step 2: Convert to fraction form
    10,878/15,011.68 = 5,910/x
  3. Step 3: Cross multiply
    10,878x = 15,011.68 × 5,910
  4. Step 4: Simplify right side
    10,878x = 88,719,028.80
  5. Step 5: Solve for x
    x = 88,719,028.80/10,878
  6. Step 6: Final answer
    x = 8,155.82

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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.