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Finding the Fourth Proportional to 7,649.50, 10,540.15 and 7,123.58

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Solution

The fourth proportional to 7,649.50, 10,540.15 and 7,123.58 is: 9,815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.50 : 10,540.15 = 7,123.58 : x
  2. Step 2: Convert to fraction form
    7,649.50/10,540.15 = 7,123.58/x
  3. Step 3: Cross multiply
    7,649.50x = 10,540.15 × 7,123.58
  4. Step 4: Simplify right side
    7,649.50x = 75,083,601.74
  5. Step 5: Solve for x
    x = 75,083,601.74/7,649.50
  6. Step 6: Final answer
    x = 9,815.49

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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.