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Finding the Fourth Proportional to 10,242.24, 15,365.28 and 5,618.88

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Solution

The fourth proportional to 10,242.24, 15,365.28 and 5,618.88 is: 8,429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.24 : 15,365.28 = 5,618.88 : x
  2. Step 2: Convert to fraction form
    10,242.24/15,365.28 = 5,618.88/x
  3. Step 3: Cross multiply
    10,242.24x = 15,365.28 × 5,618.88
  4. Step 4: Simplify right side
    10,242.24x = 86,335,664.49
  5. Step 5: Solve for x
    x = 86,335,664.49/10,242.24
  6. Step 6: Final answer
    x = 8,429.37

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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.