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Finding the Fourth Proportional to 12,181.32, 16,809.12 and 6,875.10

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Solution

The fourth proportional to 12,181.32, 16,809.12 and 6,875.10 is: 9,487.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.32 : 16,809.12 = 6,875.10 : x
  2. Step 2: Convert to fraction form
    12,181.32/16,809.12 = 6,875.10/x
  3. Step 3: Cross multiply
    12,181.32x = 16,809.12 × 6,875.10
  4. Step 4: Simplify right side
    12,181.32x = 115,564,380.91
  5. Step 5: Solve for x
    x = 115,564,380.91/12,181.32
  6. Step 6: Final answer
    x = 9,487.02

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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.