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Finding the Fourth Proportional to 10,713.36, 14,789.46 and 8,061.76

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Solution

The fourth proportional to 10,713.36, 14,789.46 and 8,061.76 is: 11,129.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.36 : 14,789.46 = 8,061.76 : x
  2. Step 2: Convert to fraction form
    10,713.36/14,789.46 = 8,061.76/x
  3. Step 3: Cross multiply
    10,713.36x = 14,789.46 × 8,061.76
  4. Step 4: Simplify right side
    10,713.36x = 119,229,077.05
  5. Step 5: Solve for x
    x = 119,229,077.05/10,713.36
  6. Step 6: Final answer
    x = 11,129.01

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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.