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Finding the Fourth Proportional to 8,035.71, 12,124.88 and 8,035.71

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Solution

The fourth proportional to 8,035.71, 12,124.88 and 8,035.71 is: 12,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,035.71 : 12,124.88 = 8,035.71 : x
  2. Step 2: Convert to fraction form
    8,035.71/12,124.88 = 8,035.71/x
  3. Step 3: Cross multiply
    8,035.71x = 12,124.88 × 8,035.71
  4. Step 4: Simplify right side
    8,035.71x = 97,431,979.29
  5. Step 5: Solve for x
    x = 97,431,979.29/8,035.71
  6. Step 6: Final answer
    x = 12,124.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.