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Finding the Fourth Proportional to 10,559.64, 15,846.52 and 5,632.68

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Solution

The fourth proportional to 10,559.64, 15,846.52 and 5,632.68 is: 8,452.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.64 : 15,846.52 = 5,632.68 : x
  2. Step 2: Convert to fraction form
    10,559.64/15,846.52 = 5,632.68/x
  3. Step 3: Cross multiply
    10,559.64x = 15,846.52 × 5,632.68
  4. Step 4: Simplify right side
    10,559.64x = 89,258,376.27
  5. Step 5: Solve for x
    x = 89,258,376.27/10,559.64
  6. Step 6: Final answer
    x = 8,452.79

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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.