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Finding the Fourth Proportional to 10,912, 15,058.56 and 5,944

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Solution

The fourth proportional to 10,912, 15,058.56 and 5,944 is: 8,202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912 : 15,058.56 = 5,944 : x
  2. Step 2: Convert to fraction form
    10,912/15,058.56 = 5,944/x
  3. Step 3: Cross multiply
    10,912x = 15,058.56 × 5,944
  4. Step 4: Simplify right side
    10,912x = 89,508,080.64
  5. Step 5: Solve for x
    x = 89,508,080.64/10,912
  6. Step 6: Final answer
    x = 8,202.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.