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Finding the Fourth Proportional to 8,534.85, 12,804.78 and 4,377.75

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Solution

The fourth proportional to 8,534.85, 12,804.78 and 4,377.75 is: 6,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.85 : 12,804.78 = 4,377.75 : x
  2. Step 2: Convert to fraction form
    8,534.85/12,804.78 = 4,377.75/x
  3. Step 3: Cross multiply
    8,534.85x = 12,804.78 × 4,377.75
  4. Step 4: Simplify right side
    8,534.85x = 56,056,125.65
  5. Step 5: Solve for x
    x = 56,056,125.65/8,534.85
  6. Step 6: Final answer
    x = 6,567.91

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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.