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Finding the Fourth Proportional to 8,776.73, 13,097.17 and 7,842.13

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Solution

The fourth proportional to 8,776.73, 13,097.17 and 7,842.13 is: 11,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,776.73 : 13,097.17 = 7,842.13 : x
  2. Step 2: Convert to fraction form
    8,776.73/13,097.17 = 7,842.13/x
  3. Step 3: Cross multiply
    8,776.73x = 13,097.17 × 7,842.13
  4. Step 4: Simplify right side
    8,776.73x = 102,709,709.77
  5. Step 5: Solve for x
    x = 102,709,709.77/8,776.73
  6. Step 6: Final answer
    x = 11,702.50

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Why These Related Problems?

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