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Finding the Fourth Proportional to 11,499.60, 15,868.76 and 6,785.36

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Solution

The fourth proportional to 11,499.60, 15,868.76 and 6,785.36 is: 9,363.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499.60 : 15,868.76 = 6,785.36 : x
  2. Step 2: Convert to fraction form
    11,499.60/15,868.76 = 6,785.36/x
  3. Step 3: Cross multiply
    11,499.60x = 15,868.76 × 6,785.36
  4. Step 4: Simplify right side
    11,499.60x = 107,675,249.35
  5. Step 5: Solve for x
    x = 107,675,249.35/11,499.60
  6. Step 6: Final answer
    x = 9,363.39

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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.