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Finding the Fourth Proportional to 7,678.21, 10,605.71 and 5,874.70

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Solution

The fourth proportional to 7,678.21, 10,605.71 and 5,874.70 is: 8,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.21 : 10,605.71 = 5,874.70 : x
  2. Step 2: Convert to fraction form
    7,678.21/10,605.71 = 5,874.70/x
  3. Step 3: Cross multiply
    7,678.21x = 10,605.71 × 5,874.70
  4. Step 4: Simplify right side
    7,678.21x = 62,305,378.42
  5. Step 5: Solve for x
    x = 62,305,378.42/7,678.21
  6. Step 6: Final answer
    x = 8,114.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.