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Finding the Fourth Proportional to 10,956.42, 16,440.15 and 4,384.50

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Solution

The fourth proportional to 10,956.42, 16,440.15 and 4,384.50 is: 6,578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.42 : 16,440.15 = 4,384.50 : x
  2. Step 2: Convert to fraction form
    10,956.42/16,440.15 = 4,384.50/x
  3. Step 3: Cross multiply
    10,956.42x = 16,440.15 × 4,384.50
  4. Step 4: Simplify right side
    10,956.42x = 72,081,837.68
  5. Step 5: Solve for x
    x = 72,081,837.68/10,956.42
  6. Step 6: Final answer
    x = 6,578.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.