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Finding the Fourth Proportional to 11,117.99, 15,340.39 and 6,641.06

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Solution

The fourth proportional to 11,117.99, 15,340.39 and 6,641.06 is: 9,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,117.99 : 15,340.39 = 6,641.06 : x
  2. Step 2: Convert to fraction form
    11,117.99/15,340.39 = 6,641.06/x
  3. Step 3: Cross multiply
    11,117.99x = 15,340.39 × 6,641.06
  4. Step 4: Simplify right side
    11,117.99x = 101,876,357.11
  5. Step 5: Solve for x
    x = 101,876,357.11/11,117.99
  6. Step 6: Final answer
    x = 9,163.20

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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.