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Finding the Fourth Proportional to 12,488.86, 18,710.73 and 7,806.64

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Solution

The fourth proportional to 12,488.86, 18,710.73 and 7,806.64 is: 11,695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,488.86 : 18,710.73 = 7,806.64 : x
  2. Step 2: Convert to fraction form
    12,488.86/18,710.73 = 7,806.64/x
  3. Step 3: Cross multiply
    12,488.86x = 18,710.73 × 7,806.64
  4. Step 4: Simplify right side
    12,488.86x = 146,067,933.25
  5. Step 5: Solve for x
    x = 146,067,933.25/12,488.86
  6. Step 6: Final answer
    x = 11,695.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.