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Finding the Fourth Proportional to 8,565.84, 12,822.84 and 7,917.84

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Solution

The fourth proportional to 8,565.84, 12,822.84 and 7,917.84 is: 11,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.84 : 12,822.84 = 7,917.84 : x
  2. Step 2: Convert to fraction form
    8,565.84/12,822.84 = 7,917.84/x
  3. Step 3: Cross multiply
    8,565.84x = 12,822.84 × 7,917.84
  4. Step 4: Simplify right side
    8,565.84x = 101,529,195.47
  5. Step 5: Solve for x
    x = 101,529,195.47/8,565.84
  6. Step 6: Final answer
    x = 11,852.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.