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Finding the Fourth Proportional to 10,886.68, 15,022.74 and 6,171.40

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Solution

The fourth proportional to 10,886.68, 15,022.74 and 6,171.40 is: 8,516.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.68 : 15,022.74 = 6,171.40 : x
  2. Step 2: Convert to fraction form
    10,886.68/15,022.74 = 6,171.40/x
  3. Step 3: Cross multiply
    10,886.68x = 15,022.74 × 6,171.40
  4. Step 4: Simplify right side
    10,886.68x = 92,711,337.64
  5. Step 5: Solve for x
    x = 92,711,337.64/10,886.68
  6. Step 6: Final answer
    x = 8,516.03

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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.