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Finding the Fourth Proportional to 11,488.50, 15,853.73 and 7,019.73

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Solution

The fourth proportional to 11,488.50, 15,853.73 and 7,019.73 is: 9,686.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.50 : 15,853.73 = 7,019.73 : x
  2. Step 2: Convert to fraction form
    11,488.50/15,853.73 = 7,019.73/x
  3. Step 3: Cross multiply
    11,488.50x = 15,853.73 × 7,019.73
  4. Step 4: Simplify right side
    11,488.50x = 111,288,904.09
  5. Step 5: Solve for x
    x = 111,288,904.09/11,488.50
  6. Step 6: Final answer
    x = 9,686.98

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