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Finding the Fourth Proportional to 7,358.31, 10,154.43 and 4,171.50

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Solution

The fourth proportional to 7,358.31, 10,154.43 and 4,171.50 is: 5,756.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,358.31 : 10,154.43 = 4,171.50 : x
  2. Step 2: Convert to fraction form
    7,358.31/10,154.43 = 4,171.50/x
  3. Step 3: Cross multiply
    7,358.31x = 10,154.43 × 4,171.50
  4. Step 4: Simplify right side
    7,358.31x = 42,359,204.75
  5. Step 5: Solve for x
    x = 42,359,204.75/7,358.31
  6. Step 6: Final answer
    x = 5,756.65

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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.