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Finding the Fourth Proportional to 10,842.08, 16,227.48 and 7,148.48

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Solution

The fourth proportional to 10,842.08, 16,227.48 and 7,148.48 is: 10,699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.08 : 16,227.48 = 7,148.48 : x
  2. Step 2: Convert to fraction form
    10,842.08/16,227.48 = 7,148.48/x
  3. Step 3: Cross multiply
    10,842.08x = 16,227.48 × 7,148.48
  4. Step 4: Simplify right side
    10,842.08x = 116,001,816.23
  5. Step 5: Solve for x
    x = 116,001,816.23/10,842.08
  6. Step 6: Final answer
    x = 10,699.22

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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.