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Finding the Fourth Proportional to 7,301.44, 10,065.50 and 5,201.92

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Solution

The fourth proportional to 7,301.44, 10,065.50 and 5,201.92 is: 7,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.44 : 10,065.50 = 5,201.92 : x
  2. Step 2: Convert to fraction form
    7,301.44/10,065.50 = 5,201.92/x
  3. Step 3: Cross multiply
    7,301.44x = 10,065.50 × 5,201.92
  4. Step 4: Simplify right side
    7,301.44x = 52,359,931.84
  5. Step 5: Solve for x
    x = 52,359,931.84/7,301.44
  6. Step 6: Final answer
    x = 7,171.18

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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.