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Finding the Fourth Proportional to 7,123.86, 10,637.15 and 6,378.66

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Solution

The fourth proportional to 7,123.86, 10,637.15 and 6,378.66 is: 9,524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.86 : 10,637.15 = 6,378.66 : x
  2. Step 2: Convert to fraction form
    7,123.86/10,637.15 = 6,378.66/x
  3. Step 3: Cross multiply
    7,123.86x = 10,637.15 × 6,378.66
  4. Step 4: Simplify right side
    7,123.86x = 67,850,731.33
  5. Step 5: Solve for x
    x = 67,850,731.33/7,123.86
  6. Step 6: Final answer
    x = 9,524.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.