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Finding the Fourth Proportional to 7,105.61, 10,637.15 and 5,126.78

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Solution

The fourth proportional to 7,105.61, 10,637.15 and 5,126.78 is: 7,674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.61 : 10,637.15 = 5,126.78 : x
  2. Step 2: Convert to fraction form
    7,105.61/10,637.15 = 5,126.78/x
  3. Step 3: Cross multiply
    7,105.61x = 10,637.15 × 5,126.78
  4. Step 4: Simplify right side
    7,105.61x = 54,534,249.06
  5. Step 5: Solve for x
    x = 54,534,249.06/7,105.61
  6. Step 6: Final answer
    x = 7,674.82

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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.