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Finding the Fourth Proportional to 10,122.64, 13,967.85 and 5,645.77

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Solution

The fourth proportional to 10,122.64, 13,967.85 and 5,645.77 is: 7,790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.64 : 13,967.85 = 5,645.77 : x
  2. Step 2: Convert to fraction form
    10,122.64/13,967.85 = 5,645.77/x
  3. Step 3: Cross multiply
    10,122.64x = 13,967.85 × 5,645.77
  4. Step 4: Simplify right side
    10,122.64x = 78,859,268.49
  5. Step 5: Solve for x
    x = 78,859,268.49/10,122.64
  6. Step 6: Final answer
    x = 7,790.39

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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.