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Finding the Fourth Proportional to 10,939.50, 16,323.89 and 9,761.40

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Solution

The fourth proportional to 10,939.50, 16,323.89 and 9,761.40 is: 14,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,939.50 : 16,323.89 = 9,761.40 : x
  2. Step 2: Convert to fraction form
    10,939.50/16,323.89 = 9,761.40/x
  3. Step 3: Cross multiply
    10,939.50x = 16,323.89 × 9,761.40
  4. Step 4: Simplify right side
    10,939.50x = 159,343,971.04
  5. Step 5: Solve for x
    x = 159,343,971.04/10,939.50
  6. Step 6: Final answer
    x = 14,565.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.