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Finding the Fourth Proportional to 7,105.60, 10,657.55 and 2,178.64

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Solution

The fourth proportional to 7,105.60, 10,657.55 and 2,178.64 is: 3,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.60 : 10,657.55 = 2,178.64 : x
  2. Step 2: Convert to fraction form
    7,105.60/10,657.55 = 2,178.64/x
  3. Step 3: Cross multiply
    7,105.60x = 10,657.55 × 2,178.64
  4. Step 4: Simplify right side
    7,105.60x = 23,218,943.53
  5. Step 5: Solve for x
    x = 23,218,943.53/7,105.60
  6. Step 6: Final answer
    x = 3,267.70

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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.