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Finding the Fourth Proportional to 8,565.66, 11,811.24 and 6,580.98

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Solution

The fourth proportional to 8,565.66, 11,811.24 and 6,580.98 is: 9,074.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.66 : 11,811.24 = 6,580.98 : x
  2. Step 2: Convert to fraction form
    8,565.66/11,811.24 = 6,580.98/x
  3. Step 3: Cross multiply
    8,565.66x = 11,811.24 × 6,580.98
  4. Step 4: Simplify right side
    8,565.66x = 77,729,534.22
  5. Step 5: Solve for x
    x = 77,729,534.22/8,565.66
  6. Step 6: Final answer
    x = 9,074.55

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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.