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Finding the Fourth Proportional to 7,374.84, 10,177.20 and 4,231.52

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Solution

The fourth proportional to 7,374.84, 10,177.20 and 4,231.52 is: 5,839.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374.84 : 10,177.20 = 4,231.52 : x
  2. Step 2: Convert to fraction form
    7,374.84/10,177.20 = 4,231.52/x
  3. Step 3: Cross multiply
    7,374.84x = 10,177.20 × 4,231.52
  4. Step 4: Simplify right side
    7,374.84x = 43,065,025.34
  5. Step 5: Solve for x
    x = 43,065,025.34/7,374.84
  6. Step 6: Final answer
    x = 5,839.45

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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.