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Finding the Fourth Proportional to 7,407.72, 10,214.96 and 5,729.40

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Solution

The fourth proportional to 7,407.72, 10,214.96 and 5,729.40 is: 7,900.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.72 : 10,214.96 = 5,729.40 : x
  2. Step 2: Convert to fraction form
    7,407.72/10,214.96 = 5,729.40/x
  3. Step 3: Cross multiply
    7,407.72x = 10,214.96 × 5,729.40
  4. Step 4: Simplify right side
    7,407.72x = 58,525,591.82
  5. Step 5: Solve for x
    x = 58,525,591.82/7,407.72
  6. Step 6: Final answer
    x = 7,900.62

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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.