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Finding the Fourth Proportional to 7,542.59, 10,408.68 and 4,185.40

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Solution

The fourth proportional to 7,542.59, 10,408.68 and 4,185.40 is: 5,775.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.59 : 10,408.68 = 4,185.40 : x
  2. Step 2: Convert to fraction form
    7,542.59/10,408.68 = 4,185.40/x
  3. Step 3: Cross multiply
    7,542.59x = 10,408.68 × 4,185.40
  4. Step 4: Simplify right side
    7,542.59x = 43,564,441.72
  5. Step 5: Solve for x
    x = 43,564,441.72/7,542.59
  6. Step 6: Final answer
    x = 5,775.79

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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.