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Finding the Fourth Proportional to 10,272.80, 15,398.64 and 4,424.48

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Solution

The fourth proportional to 10,272.80, 15,398.64 and 4,424.48 is: 6,632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.80 : 15,398.64 = 4,424.48 : x
  2. Step 2: Convert to fraction form
    10,272.80/15,398.64 = 4,424.48/x
  3. Step 3: Cross multiply
    10,272.80x = 15,398.64 × 4,424.48
  4. Step 4: Simplify right side
    10,272.80x = 68,130,974.71
  5. Step 5: Solve for x
    x = 68,130,974.71/10,272.80
  6. Step 6: Final answer
    x = 6,632.17

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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.