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Finding the Fourth Proportional to 10,486.95, 14,472.18 and 5,771.22

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Solution

The fourth proportional to 10,486.95, 14,472.18 and 5,771.22 is: 7,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.95 : 14,472.18 = 5,771.22 : x
  2. Step 2: Convert to fraction form
    10,486.95/14,472.18 = 5,771.22/x
  3. Step 3: Cross multiply
    10,486.95x = 14,472.18 × 5,771.22
  4. Step 4: Simplify right side
    10,486.95x = 83,522,134.66
  5. Step 5: Solve for x
    x = 83,522,134.66/10,486.95
  6. Step 6: Final answer
    x = 7,964.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.