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Finding the Fourth Proportional to 7,574.76, 10,452.48 and 5,586.41

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Solution

The fourth proportional to 7,574.76, 10,452.48 and 5,586.41 is: 7,708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.76 : 10,452.48 = 5,586.41 : x
  2. Step 2: Convert to fraction form
    7,574.76/10,452.48 = 5,586.41/x
  3. Step 3: Cross multiply
    7,574.76x = 10,452.48 × 5,586.41
  4. Step 4: Simplify right side
    7,574.76x = 58,391,843.98
  5. Step 5: Solve for x
    x = 58,391,843.98/7,574.76
  6. Step 6: Final answer
    x = 7,708.74

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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.