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Finding the Fourth Proportional to 11,916.46, 17,860.11 and 4,116.16

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Solution

The fourth proportional to 11,916.46, 17,860.11 and 4,116.16 is: 6,169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.46 : 17,860.11 = 4,116.16 : x
  2. Step 2: Convert to fraction form
    11,916.46/17,860.11 = 4,116.16/x
  3. Step 3: Cross multiply
    11,916.46x = 17,860.11 × 4,116.16
  4. Step 4: Simplify right side
    11,916.46x = 73,515,070.38
  5. Step 5: Solve for x
    x = 73,515,070.38/11,916.46
  6. Step 6: Final answer
    x = 6,169.20

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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.