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Finding the Fourth Proportional to 7,534.67, 11,301.03 and 1,988.43

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Solution

The fourth proportional to 7,534.67, 11,301.03 and 1,988.43 is: 2,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.67 : 11,301.03 = 1,988.43 : x
  2. Step 2: Convert to fraction form
    7,534.67/11,301.03 = 1,988.43/x
  3. Step 3: Cross multiply
    7,534.67x = 11,301.03 × 1,988.43
  4. Step 4: Simplify right side
    7,534.67x = 22,471,264.70
  5. Step 5: Solve for x
    x = 22,471,264.70/7,534.67
  6. Step 6: Final answer
    x = 2,982.38

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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.