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Finding the Fourth Proportional to 10,249.77, 14,146.02 and 5,774.39

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Solution

The fourth proportional to 10,249.77, 14,146.02 and 5,774.39 is: 7,969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.77 : 14,146.02 = 5,774.39 : x
  2. Step 2: Convert to fraction form
    10,249.77/14,146.02 = 5,774.39/x
  3. Step 3: Cross multiply
    10,249.77x = 14,146.02 × 5,774.39
  4. Step 4: Simplify right side
    10,249.77x = 81,684,565.70
  5. Step 5: Solve for x
    x = 81,684,565.70/10,249.77
  6. Step 6: Final answer
    x = 7,969.40

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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.