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Finding the Fourth Proportional to 7,178.39, 10,766.87 and 2,497.94

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Solution

The fourth proportional to 7,178.39, 10,766.87 and 2,497.94 is: 3,746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.39 : 10,766.87 = 2,497.94 : x
  2. Step 2: Convert to fraction form
    7,178.39/10,766.87 = 2,497.94/x
  3. Step 3: Cross multiply
    7,178.39x = 10,766.87 × 2,497.94
  4. Step 4: Simplify right side
    7,178.39x = 26,894,982.76
  5. Step 5: Solve for x
    x = 26,894,982.76/7,178.39
  6. Step 6: Final answer
    x = 3,746.66

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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.