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Finding the Fourth Proportional to 10,842.48, 16,242.72 and 7,133.52

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Solution

The fourth proportional to 10,842.48, 16,242.72 and 7,133.52 is: 10,686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.48 : 16,242.72 = 7,133.52 : x
  2. Step 2: Convert to fraction form
    10,842.48/16,242.72 = 7,133.52/x
  3. Step 3: Cross multiply
    10,842.48x = 16,242.72 × 7,133.52
  4. Step 4: Simplify right side
    10,842.48x = 115,867,767.97
  5. Step 5: Solve for x
    x = 115,867,767.97/10,842.48
  6. Step 6: Final answer
    x = 10,686.46

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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.