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Finding the Fourth Proportional to 10,390.73, 14,340.47 and 7,040.97

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Solution

The fourth proportional to 10,390.73, 14,340.47 and 7,040.97 is: 9,717.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.73 : 14,340.47 = 7,040.97 : x
  2. Step 2: Convert to fraction form
    10,390.73/14,340.47 = 7,040.97/x
  3. Step 3: Cross multiply
    10,390.73x = 14,340.47 × 7,040.97
  4. Step 4: Simplify right side
    10,390.73x = 100,970,783.85
  5. Step 5: Solve for x
    x = 100,970,783.85/10,390.73
  6. Step 6: Final answer
    x = 9,717.40

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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.