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Finding the Fourth Proportional to 7,224.28, 10,835.20 and 2,547.76

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Solution

The fourth proportional to 7,224.28, 10,835.20 and 2,547.76 is: 3,821.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.28 : 10,835.20 = 2,547.76 : x
  2. Step 2: Convert to fraction form
    7,224.28/10,835.20 = 2,547.76/x
  3. Step 3: Cross multiply
    7,224.28x = 10,835.20 × 2,547.76
  4. Step 4: Simplify right side
    7,224.28x = 27,605,489.15
  5. Step 5: Solve for x
    x = 27,605,489.15/7,224.28
  6. Step 6: Final answer
    x = 3,821.21

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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.