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Finding the Fourth Proportional to 10,535.87, 15,802.76 and 2,744.69

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Solution

The fourth proportional to 10,535.87, 15,802.76 and 2,744.69 is: 4,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.87 : 15,802.76 = 2,744.69 : x
  2. Step 2: Convert to fraction form
    10,535.87/15,802.76 = 2,744.69/x
  3. Step 3: Cross multiply
    10,535.87x = 15,802.76 × 2,744.69
  4. Step 4: Simplify right side
    10,535.87x = 43,373,605.19
  5. Step 5: Solve for x
    x = 43,373,605.19/10,535.87
  6. Step 6: Final answer
    x = 4,116.75

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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.