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Finding the Fourth Proportional to 7,534.89, 11,302.87 and 1,988.17

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Solution

The fourth proportional to 7,534.89, 11,302.87 and 1,988.17 is: 2,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.89 : 11,302.87 = 1,988.17 : x
  2. Step 2: Convert to fraction form
    7,534.89/11,302.87 = 1,988.17/x
  3. Step 3: Cross multiply
    7,534.89x = 11,302.87 × 1,988.17
  4. Step 4: Simplify right side
    7,534.89x = 22,471,970.53
  5. Step 5: Solve for x
    x = 22,471,970.53/7,534.89
  6. Step 6: Final answer
    x = 2,982.39

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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.