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Finding the Fourth Proportional to 10,951, 15,112.40 and 5,983

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Solution

The fourth proportional to 10,951, 15,112.40 and 5,983 is: 8,256.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951 : 15,112.40 = 5,983 : x
  2. Step 2: Convert to fraction form
    10,951/15,112.40 = 5,983/x
  3. Step 3: Cross multiply
    10,951x = 15,112.40 × 5,983
  4. Step 4: Simplify right side
    10,951x = 90,417,489.20
  5. Step 5: Solve for x
    x = 90,417,489.20/10,951
  6. Step 6: Final answer
    x = 8,256.55

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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.