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Finding the Fourth Proportional to 8,285.32, 11,435.88 and 5,767.84

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Solution

The fourth proportional to 8,285.32, 11,435.88 and 5,767.84 is: 7,961.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.32 : 11,435.88 = 5,767.84 : x
  2. Step 2: Convert to fraction form
    8,285.32/11,435.88 = 5,767.84/x
  3. Step 3: Cross multiply
    8,285.32x = 11,435.88 × 5,767.84
  4. Step 4: Simplify right side
    8,285.32x = 65,960,326.10
  5. Step 5: Solve for x
    x = 65,960,326.10/8,285.32
  6. Step 6: Final answer
    x = 7,961.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.