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Finding the Fourth Proportional to 10,728.06, 14,789.46 and 7,890.42

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Solution

The fourth proportional to 10,728.06, 14,789.46 and 7,890.42 is: 10,877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.06 : 14,789.46 = 7,890.42 : x
  2. Step 2: Convert to fraction form
    10,728.06/14,789.46 = 7,890.42/x
  3. Step 3: Cross multiply
    10,728.06x = 14,789.46 × 7,890.42
  4. Step 4: Simplify right side
    10,728.06x = 116,695,050.97
  5. Step 5: Solve for x
    x = 116,695,050.97/10,728.06
  6. Step 6: Final answer
    x = 10,877.55

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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.