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Finding the Fourth Proportional to 8,997.61, 12,416.17 and 5,019

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Solution

The fourth proportional to 8,997.61, 12,416.17 and 5,019 is: 6,925.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.61 : 12,416.17 = 5,019 : x
  2. Step 2: Convert to fraction form
    8,997.61/12,416.17 = 5,019/x
  3. Step 3: Cross multiply
    8,997.61x = 12,416.17 × 5,019
  4. Step 4: Simplify right side
    8,997.61x = 62,316,757.23
  5. Step 5: Solve for x
    x = 62,316,757.23/8,997.61
  6. Step 6: Final answer
    x = 6,925.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.