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Finding the Fourth Proportional to 11,544.58, 15,928.95 and 7,067.98

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Solution

The fourth proportional to 11,544.58, 15,928.95 and 7,067.98 is: 9,752.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.58 : 15,928.95 = 7,067.98 : x
  2. Step 2: Convert to fraction form
    11,544.58/15,928.95 = 7,067.98/x
  3. Step 3: Cross multiply
    11,544.58x = 15,928.95 × 7,067.98
  4. Step 4: Simplify right side
    11,544.58x = 112,585,500.02
  5. Step 5: Solve for x
    x = 112,585,500.02/11,544.58
  6. Step 6: Final answer
    x = 9,752.24

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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.