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Finding the Fourth Proportional to 10,367.59, 15,535.06 and 6,466.15

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Solution

The fourth proportional to 10,367.59, 15,535.06 and 6,466.15 is: 9,689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.59 : 15,535.06 = 6,466.15 : x
  2. Step 2: Convert to fraction form
    10,367.59/15,535.06 = 6,466.15/x
  3. Step 3: Cross multiply
    10,367.59x = 15,535.06 × 6,466.15
  4. Step 4: Simplify right side
    10,367.59x = 100,452,028.22
  5. Step 5: Solve for x
    x = 100,452,028.22/10,367.59
  6. Step 6: Final answer
    x = 9,689.04

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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.