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Finding the Fourth Proportional to 7,524.95, 10,382.96 and 4,167.60

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Solution

The fourth proportional to 7,524.95, 10,382.96 and 4,167.60 is: 5,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.95 : 10,382.96 = 4,167.60 : x
  2. Step 2: Convert to fraction form
    7,524.95/10,382.96 = 4,167.60/x
  3. Step 3: Cross multiply
    7,524.95x = 10,382.96 × 4,167.60
  4. Step 4: Simplify right side
    7,524.95x = 43,272,003.26
  5. Step 5: Solve for x
    x = 43,272,003.26/7,524.95
  6. Step 6: Final answer
    x = 5,750.47

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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.