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Finding the Fourth Proportional to 10,870.68, 15,001.89 and 6,154.86

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Solution

The fourth proportional to 10,870.68, 15,001.89 and 6,154.86 is: 8,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.68 : 15,001.89 = 6,154.86 : x
  2. Step 2: Convert to fraction form
    10,870.68/15,001.89 = 6,154.86/x
  3. Step 3: Cross multiply
    10,870.68x = 15,001.89 × 6,154.86
  4. Step 4: Simplify right side
    10,870.68x = 92,334,532.69
  5. Step 5: Solve for x
    x = 92,334,532.69/10,870.68
  6. Step 6: Final answer
    x = 8,493.91

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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.