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Finding the Fourth Proportional to 10,296.92, 14,199.14 and 8,809.76

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Solution

The fourth proportional to 10,296.92, 14,199.14 and 8,809.76 is: 12,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.92 : 14,199.14 = 8,809.76 : x
  2. Step 2: Convert to fraction form
    10,296.92/14,199.14 = 8,809.76/x
  3. Step 3: Cross multiply
    10,296.92x = 14,199.14 × 8,809.76
  4. Step 4: Simplify right side
    10,296.92x = 125,091,015.61
  5. Step 5: Solve for x
    x = 125,091,015.61/10,296.92
  6. Step 6: Final answer
    x = 12,148.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.