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Finding the Fourth Proportional to 8,143.84, 12,154.25 and 7,356.52

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Solution

The fourth proportional to 8,143.84, 12,154.25 and 7,356.52 is: 10,979.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.84 : 12,154.25 = 7,356.52 : x
  2. Step 2: Convert to fraction form
    8,143.84/12,154.25 = 7,356.52/x
  3. Step 3: Cross multiply
    8,143.84x = 12,154.25 × 7,356.52
  4. Step 4: Simplify right side
    8,143.84x = 89,413,016.79
  5. Step 5: Solve for x
    x = 89,413,016.79/8,143.84
  6. Step 6: Final answer
    x = 10,979.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.