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Finding the Fourth Proportional to 7,874.40, 10,870.56 and 5,369.52

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Solution

The fourth proportional to 7,874.40, 10,870.56 and 5,369.52 is: 7,412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.40 : 10,870.56 = 5,369.52 : x
  2. Step 2: Convert to fraction form
    7,874.40/10,870.56 = 5,369.52/x
  3. Step 3: Cross multiply
    7,874.40x = 10,870.56 × 5,369.52
  4. Step 4: Simplify right side
    7,874.40x = 58,369,689.33
  5. Step 5: Solve for x
    x = 58,369,689.33/7,874.40
  6. Step 6: Final answer
    x = 7,412.59

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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.