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Finding the Fourth Proportional to 8,727.18, 13,099 and 5,807.54

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Solution

The fourth proportional to 8,727.18, 13,099 and 5,807.54 is: 8,716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,727.18 : 13,099 = 5,807.54 : x
  2. Step 2: Convert to fraction form
    8,727.18/13,099 = 5,807.54/x
  3. Step 3: Cross multiply
    8,727.18x = 13,099 × 5,807.54
  4. Step 4: Simplify right side
    8,727.18x = 76,072,966.46
  5. Step 5: Solve for x
    x = 76,072,966.46/8,727.18
  6. Step 6: Final answer
    x = 8,716.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.