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Finding the Fourth Proportional to 10,956.99, 16,440.67 and 5,689.20

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Solution

The fourth proportional to 10,956.99, 16,440.67 and 5,689.20 is: 8,536.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.99 : 16,440.67 = 5,689.20 : x
  2. Step 2: Convert to fraction form
    10,956.99/16,440.67 = 5,689.20/x
  3. Step 3: Cross multiply
    10,956.99x = 16,440.67 × 5,689.20
  4. Step 4: Simplify right side
    10,956.99x = 93,534,259.76
  5. Step 5: Solve for x
    x = 93,534,259.76/10,956.99
  6. Step 6: Final answer
    x = 8,536.49

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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.