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Finding the Fourth Proportional to 8,111.34, 12,164.58 and 2,916

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Solution

The fourth proportional to 8,111.34, 12,164.58 and 2,916 is: 4,373.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.34 : 12,164.58 = 2,916 : x
  2. Step 2: Convert to fraction form
    8,111.34/12,164.58 = 2,916/x
  3. Step 3: Cross multiply
    8,111.34x = 12,164.58 × 2,916
  4. Step 4: Simplify right side
    8,111.34x = 35,471,915.28
  5. Step 5: Solve for x
    x = 35,471,915.28/8,111.34
  6. Step 6: Final answer
    x = 4,373.13

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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.