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Finding the Fourth Proportional to 6,956.32, 10,434.66 and 5,578.42

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Solution

The fourth proportional to 6,956.32, 10,434.66 and 5,578.42 is: 8,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.32 : 10,434.66 = 5,578.42 : x
  2. Step 2: Convert to fraction form
    6,956.32/10,434.66 = 5,578.42/x
  3. Step 3: Cross multiply
    6,956.32x = 10,434.66 × 5,578.42
  4. Step 4: Simplify right side
    6,956.32x = 58,208,916.04
  5. Step 5: Solve for x
    x = 58,208,916.04/6,956.32
  6. Step 6: Final answer
    x = 8,367.77

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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.