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Finding the Fourth Proportional to 10,761.81, 14,810.85 and 9,105

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Solution

The fourth proportional to 10,761.81, 14,810.85 and 9,105 is: 12,530.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.81 : 14,810.85 = 9,105 : x
  2. Step 2: Convert to fraction form
    10,761.81/14,810.85 = 9,105/x
  3. Step 3: Cross multiply
    10,761.81x = 14,810.85 × 9,105
  4. Step 4: Simplify right side
    10,761.81x = 134,852,789.25
  5. Step 5: Solve for x
    x = 134,852,789.25/10,761.81
  6. Step 6: Final answer
    x = 12,530.68

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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.