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Finding the Fourth Proportional to 7,588.13, 11,382.19 and 2,394

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Solution

The fourth proportional to 7,588.13, 11,382.19 and 2,394 is: 3,591

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.13 : 11,382.19 = 2,394 : x
  2. Step 2: Convert to fraction form
    7,588.13/11,382.19 = 2,394/x
  3. Step 3: Cross multiply
    7,588.13x = 11,382.19 × 2,394
  4. Step 4: Simplify right side
    7,588.13x = 27,248,956.88
  5. Step 5: Solve for x
    x = 27,248,956.88/7,588.13
  6. Step 6: Final answer
    x = 3,591

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