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Finding the Fourth Proportional to 7,335.96, 10,123.72 and 3,978.80

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Solution

The fourth proportional to 7,335.96, 10,123.72 and 3,978.80 is: 5,490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,335.96 : 10,123.72 = 3,978.80 : x
  2. Step 2: Convert to fraction form
    7,335.96/10,123.72 = 3,978.80/x
  3. Step 3: Cross multiply
    7,335.96x = 10,123.72 × 3,978.80
  4. Step 4: Simplify right side
    7,335.96x = 40,280,257.14
  5. Step 5: Solve for x
    x = 40,280,257.14/7,335.96
  6. Step 6: Final answer
    x = 5,490.80

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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.