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Finding the Fourth Proportional to 10,535.29, 14,540.74 and 6,763.22

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Solution

The fourth proportional to 10,535.29, 14,540.74 and 6,763.22 is: 9,334.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.29 : 14,540.74 = 6,763.22 : x
  2. Step 2: Convert to fraction form
    10,535.29/14,540.74 = 6,763.22/x
  3. Step 3: Cross multiply
    10,535.29x = 14,540.74 × 6,763.22
  4. Step 4: Simplify right side
    10,535.29x = 98,342,248.42
  5. Step 5: Solve for x
    x = 98,342,248.42/10,535.29
  6. Step 6: Final answer
    x = 9,334.56

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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.