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Finding the Fourth Proportional to 8,254.98, 11,385.52 and 5,565.20

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Solution

The fourth proportional to 8,254.98, 11,385.52 and 5,565.20 is: 7,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.98 : 11,385.52 = 5,565.20 : x
  2. Step 2: Convert to fraction form
    8,254.98/11,385.52 = 5,565.20/x
  3. Step 3: Cross multiply
    8,254.98x = 11,385.52 × 5,565.20
  4. Step 4: Simplify right side
    8,254.98x = 63,362,625.06
  5. Step 5: Solve for x
    x = 63,362,625.06/8,254.98
  6. Step 6: Final answer
    x = 7,675.68

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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.