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Finding the Fourth Proportional to 8,244, 11,368.17 and 5,728.95

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Solution

The fourth proportional to 8,244, 11,368.17 and 5,728.95 is: 7,900.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244 : 11,368.17 = 5,728.95 : x
  2. Step 2: Convert to fraction form
    8,244/11,368.17 = 5,728.95/x
  3. Step 3: Cross multiply
    8,244x = 11,368.17 × 5,728.95
  4. Step 4: Simplify right side
    8,244x = 65,127,677.52
  5. Step 5: Solve for x
    x = 65,127,677.52/8,244
  6. Step 6: Final answer
    x = 7,900.01

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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.