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Finding the Fourth Proportional to 7,475.71, 11,214.26 and 3,775.60

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Solution

The fourth proportional to 7,475.71, 11,214.26 and 3,775.60 is: 5,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.71 : 11,214.26 = 3,775.60 : x
  2. Step 2: Convert to fraction form
    7,475.71/11,214.26 = 3,775.60/x
  3. Step 3: Cross multiply
    7,475.71x = 11,214.26 × 3,775.60
  4. Step 4: Simplify right side
    7,475.71x = 42,340,560.06
  5. Step 5: Solve for x
    x = 42,340,560.06/7,475.71
  6. Step 6: Final answer
    x = 5,663.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.