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Finding the Fourth Proportional to 8,761.10, 13,189.23 and 7,857

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Solution

The fourth proportional to 8,761.10, 13,189.23 and 7,857 is: 11,828.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.10 : 13,189.23 = 7,857 : x
  2. Step 2: Convert to fraction form
    8,761.10/13,189.23 = 7,857/x
  3. Step 3: Cross multiply
    8,761.10x = 13,189.23 × 7,857
  4. Step 4: Simplify right side
    8,761.10x = 103,627,780.11
  5. Step 5: Solve for x
    x = 103,627,780.11/8,761.10
  6. Step 6: Final answer
    x = 11,828.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.