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Finding the Fourth Proportional to 10,111.50, 13,955.04 and 6,132.48

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Solution

The fourth proportional to 10,111.50, 13,955.04 and 6,132.48 is: 8,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111.50 : 13,955.04 = 6,132.48 : x
  2. Step 2: Convert to fraction form
    10,111.50/13,955.04 = 6,132.48/x
  3. Step 3: Cross multiply
    10,111.50x = 13,955.04 × 6,132.48
  4. Step 4: Simplify right side
    10,111.50x = 85,579,003.70
  5. Step 5: Solve for x
    x = 85,579,003.70/10,111.50
  6. Step 6: Final answer
    x = 8,463.53

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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.