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Finding the Fourth Proportional to 11,543.13, 17,316.86 and 4,618.17

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Solution

The fourth proportional to 11,543.13, 17,316.86 and 4,618.17 is: 6,928.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.13 : 17,316.86 = 4,618.17 : x
  2. Step 2: Convert to fraction form
    11,543.13/17,316.86 = 4,618.17/x
  3. Step 3: Cross multiply
    11,543.13x = 17,316.86 × 4,618.17
  4. Step 4: Simplify right side
    11,543.13x = 79,972,180.26
  5. Step 5: Solve for x
    x = 79,972,180.26/11,543.13
  6. Step 6: Final answer
    x = 6,928.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.