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Finding the Fourth Proportional to 12,591.84, 17,378.64 and 7,290.12

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Solution

The fourth proportional to 12,591.84, 17,378.64 and 7,290.12 is: 10,061.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.84 : 17,378.64 = 7,290.12 : x
  2. Step 2: Convert to fraction form
    12,591.84/17,378.64 = 7,290.12/x
  3. Step 3: Cross multiply
    12,591.84x = 17,378.64 × 7,290.12
  4. Step 4: Simplify right side
    12,591.84x = 126,692,371.04
  5. Step 5: Solve for x
    x = 126,692,371.04/12,591.84
  6. Step 6: Final answer
    x = 10,061.47

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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.