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Finding the Fourth Proportional to 10,980.24, 16,472.19 and 5,433.77

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Solution

The fourth proportional to 10,980.24, 16,472.19 and 5,433.77 is: 8,151.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.24 : 16,472.19 = 5,433.77 : x
  2. Step 2: Convert to fraction form
    10,980.24/16,472.19 = 5,433.77/x
  3. Step 3: Cross multiply
    10,980.24x = 16,472.19 × 5,433.77
  4. Step 4: Simplify right side
    10,980.24x = 89,506,009.50
  5. Step 5: Solve for x
    x = 89,506,009.50/10,980.24
  6. Step 6: Final answer
    x = 8,151.55

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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.