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Finding the Fourth Proportional to 6,875.82, 10,305.65 and 3,170.16

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Solution

The fourth proportional to 6,875.82, 10,305.65 and 3,170.16 is: 4,751.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.82 : 10,305.65 = 3,170.16 : x
  2. Step 2: Convert to fraction form
    6,875.82/10,305.65 = 3,170.16/x
  3. Step 3: Cross multiply
    6,875.82x = 10,305.65 × 3,170.16
  4. Step 4: Simplify right side
    6,875.82x = 32,670,567.33
  5. Step 5: Solve for x
    x = 32,670,567.33/6,875.82
  6. Step 6: Final answer
    x = 4,751.52

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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.