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Finding the Fourth Proportional to 7,073.24, 9,761.70 and 5,301.80

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Solution

The fourth proportional to 7,073.24, 9,761.70 and 5,301.80 is: 7,316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.24 : 9,761.70 = 5,301.80 : x
  2. Step 2: Convert to fraction form
    7,073.24/9,761.70 = 5,301.80/x
  3. Step 3: Cross multiply
    7,073.24x = 9,761.70 × 5,301.80
  4. Step 4: Simplify right side
    7,073.24x = 51,754,581.06
  5. Step 5: Solve for x
    x = 51,754,581.06/7,073.24
  6. Step 6: Final answer
    x = 7,316.96

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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.