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Finding the Fourth Proportional to 7,335.74, 10,123.23 and 3,978.50

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Solution

The fourth proportional to 7,335.74, 10,123.23 and 3,978.50 is: 5,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,335.74 : 10,123.23 = 3,978.50 : x
  2. Step 2: Convert to fraction form
    7,335.74/10,123.23 = 3,978.50/x
  3. Step 3: Cross multiply
    7,335.74x = 10,123.23 × 3,978.50
  4. Step 4: Simplify right side
    7,335.74x = 40,275,270.56
  5. Step 5: Solve for x
    x = 40,275,270.56/7,335.74
  6. Step 6: Final answer
    x = 5,490.28

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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.