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Finding the Fourth Proportional to 11,047.74, 15,244.76 and 6,799.08

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Solution

The fourth proportional to 11,047.74, 15,244.76 and 6,799.08 is: 9,382.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047.74 : 15,244.76 = 6,799.08 : x
  2. Step 2: Convert to fraction form
    11,047.74/15,244.76 = 6,799.08/x
  3. Step 3: Cross multiply
    11,047.74x = 15,244.76 × 6,799.08
  4. Step 4: Simplify right side
    11,047.74x = 103,650,342.82
  5. Step 5: Solve for x
    x = 103,650,342.82/11,047.74
  6. Step 6: Final answer
    x = 9,382.04

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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.