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Finding the Fourth Proportional to 8,111.64, 12,167.46 and 4,215.14

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Solution

The fourth proportional to 8,111.64, 12,167.46 and 4,215.14 is: 6,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.64 : 12,167.46 = 4,215.14 : x
  2. Step 2: Convert to fraction form
    8,111.64/12,167.46 = 4,215.14/x
  3. Step 3: Cross multiply
    8,111.64x = 12,167.46 × 4,215.14
  4. Step 4: Simplify right side
    8,111.64x = 51,287,547.34
  5. Step 5: Solve for x
    x = 51,287,547.34/8,111.64
  6. Step 6: Final answer
    x = 6,322.71

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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.