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Finding the Fourth Proportional to 12,591.81, 17,377.74 and 7,288.47

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Solution

The fourth proportional to 12,591.81, 17,377.74 and 7,288.47 is: 10,058.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.81 : 17,377.74 = 7,288.47 : x
  2. Step 2: Convert to fraction form
    12,591.81/17,377.74 = 7,288.47/x
  3. Step 3: Cross multiply
    12,591.81x = 17,377.74 × 7,288.47
  4. Step 4: Simplify right side
    12,591.81x = 126,657,136.66
  5. Step 5: Solve for x
    x = 126,657,136.66/12,591.81
  6. Step 6: Final answer
    x = 10,058.69

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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.