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Finding the Fourth Proportional to 7,228.47, 10,839.87 and 2,547.48

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Solution

The fourth proportional to 7,228.47, 10,839.87 and 2,547.48 is: 3,820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.47 : 10,839.87 = 2,547.48 : x
  2. Step 2: Convert to fraction form
    7,228.47/10,839.87 = 2,547.48/x
  3. Step 3: Cross multiply
    7,228.47x = 10,839.87 × 2,547.48
  4. Step 4: Simplify right side
    7,228.47x = 27,614,352.03
  5. Step 5: Solve for x
    x = 27,614,352.03/7,228.47
  6. Step 6: Final answer
    x = 3,820.22

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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.