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Finding the Fourth Proportional to 8,701.74, 12,008.16 and 5,164.92

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Solution

The fourth proportional to 8,701.74, 12,008.16 and 5,164.92 is: 7,127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,701.74 : 12,008.16 = 5,164.92 : x
  2. Step 2: Convert to fraction form
    8,701.74/12,008.16 = 5,164.92/x
  3. Step 3: Cross multiply
    8,701.74x = 12,008.16 × 5,164.92
  4. Step 4: Simplify right side
    8,701.74x = 62,021,185.75
  5. Step 5: Solve for x
    x = 62,021,185.75/8,701.74
  6. Step 6: Final answer
    x = 7,127.45

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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.