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Finding the Fourth Proportional to 8,057.32, 12,085.83 and 3,312.48

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Solution

The fourth proportional to 8,057.32, 12,085.83 and 3,312.48 is: 4,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.32 : 12,085.83 = 3,312.48 : x
  2. Step 2: Convert to fraction form
    8,057.32/12,085.83 = 3,312.48/x
  3. Step 3: Cross multiply
    8,057.32x = 12,085.83 × 3,312.48
  4. Step 4: Simplify right side
    8,057.32x = 40,034,070.16
  5. Step 5: Solve for x
    x = 40,034,070.16/8,057.32
  6. Step 6: Final answer
    x = 4,968.66

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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.