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Finding the Fourth Proportional to 7,614.40, 10,506.76 and 4,471.60

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Solution

The fourth proportional to 7,614.40, 10,506.76 and 4,471.60 is: 6,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.40 : 10,506.76 = 4,471.60 : x
  2. Step 2: Convert to fraction form
    7,614.40/10,506.76 = 4,471.60/x
  3. Step 3: Cross multiply
    7,614.40x = 10,506.76 × 4,471.60
  4. Step 4: Simplify right side
    7,614.40x = 46,982,028.02
  5. Step 5: Solve for x
    x = 46,982,028.02/7,614.40
  6. Step 6: Final answer
    x = 6,170.15

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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.