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Finding the Fourth Proportional to 11,488.25, 15,857.07 and 6,950.92

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Solution

The fourth proportional to 11,488.25, 15,857.07 and 6,950.92 is: 9,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.25 : 15,857.07 = 6,950.92 : x
  2. Step 2: Convert to fraction form
    11,488.25/15,857.07 = 6,950.92/x
  3. Step 3: Cross multiply
    11,488.25x = 15,857.07 × 6,950.92
  4. Step 4: Simplify right side
    11,488.25x = 110,221,189.03
  5. Step 5: Solve for x
    x = 110,221,189.03/11,488.25
  6. Step 6: Final answer
    x = 9,594.25

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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.