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Finding the Fourth Proportional to 7,534.81, 11,301.24 and 1,988.57

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Solution

The fourth proportional to 7,534.81, 11,301.24 and 1,988.57 is: 2,982.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.81 : 11,301.24 = 1,988.57 : x
  2. Step 2: Convert to fraction form
    7,534.81/11,301.24 = 1,988.57/x
  3. Step 3: Cross multiply
    7,534.81x = 11,301.24 × 1,988.57
  4. Step 4: Simplify right side
    7,534.81x = 22,473,306.83
  5. Step 5: Solve for x
    x = 22,473,306.83/7,534.81
  6. Step 6: Final answer
    x = 2,982.60

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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.