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Finding the Fourth Proportional to 11,543.84, 17,314.80 and 4,618.72

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Solution

The fourth proportional to 11,543.84, 17,314.80 and 4,618.72 is: 6,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.84 : 17,314.80 = 4,618.72 : x
  2. Step 2: Convert to fraction form
    11,543.84/17,314.80 = 4,618.72/x
  3. Step 3: Cross multiply
    11,543.84x = 17,314.80 × 4,618.72
  4. Step 4: Simplify right side
    11,543.84x = 79,972,213.06
  5. Step 5: Solve for x
    x = 79,972,213.06/11,543.84
  6. Step 6: Final answer
    x = 6,927.70

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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.