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Finding the Fourth Proportional to 7,301.96, 10,064.86 and 5,705.82

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Solution

The fourth proportional to 7,301.96, 10,064.86 and 5,705.82 is: 7,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.96 : 10,064.86 = 5,705.82 : x
  2. Step 2: Convert to fraction form
    7,301.96/10,064.86 = 5,705.82/x
  3. Step 3: Cross multiply
    7,301.96x = 10,064.86 × 5,705.82
  4. Step 4: Simplify right side
    7,301.96x = 57,428,279.49
  5. Step 5: Solve for x
    x = 57,428,279.49/7,301.96
  6. Step 6: Final answer
    x = 7,864.78

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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.