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Finding the Fourth Proportional to 7,526.29, 10,379.97 and 5,642.29

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Solution

The fourth proportional to 7,526.29, 10,379.97 and 5,642.29 is: 7,781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,526.29 : 10,379.97 = 5,642.29 : x
  2. Step 2: Convert to fraction form
    7,526.29/10,379.97 = 5,642.29/x
  3. Step 3: Cross multiply
    7,526.29x = 10,379.97 × 5,642.29
  4. Step 4: Simplify right side
    7,526.29x = 58,566,800.93
  5. Step 5: Solve for x
    x = 58,566,800.93/7,526.29
  6. Step 6: Final answer
    x = 7,781.63

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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.