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Finding the Fourth Proportional to 11,117.97, 15,340.22 and 6,643.17

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Solution

The fourth proportional to 11,117.97, 15,340.22 and 6,643.17 is: 9,166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,117.97 : 15,340.22 = 6,643.17 : x
  2. Step 2: Convert to fraction form
    11,117.97/15,340.22 = 6,643.17/x
  3. Step 3: Cross multiply
    11,117.97x = 15,340.22 × 6,643.17
  4. Step 4: Simplify right side
    11,117.97x = 101,907,656.08
  5. Step 5: Solve for x
    x = 101,907,656.08/11,117.97
  6. Step 6: Final answer
    x = 9,166.03

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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.