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Finding the Fourth Proportional to 11,097.80, 16,657.84 and 5,178.74

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Solution

The fourth proportional to 11,097.80, 16,657.84 and 5,178.74 is: 7,773.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.80 : 16,657.84 = 5,178.74 : x
  2. Step 2: Convert to fraction form
    11,097.80/16,657.84 = 5,178.74/x
  3. Step 3: Cross multiply
    11,097.80x = 16,657.84 × 5,178.74
  4. Step 4: Simplify right side
    11,097.80x = 86,266,622.32
  5. Step 5: Solve for x
    x = 86,266,622.32/11,097.80
  6. Step 6: Final answer
    x = 7,773.31

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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.