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Finding the Fourth Proportional to 11,142.90, 15,376.53 and 6,106.14

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Solution

The fourth proportional to 11,142.90, 15,376.53 and 6,106.14 is: 8,426.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.90 : 15,376.53 = 6,106.14 : x
  2. Step 2: Convert to fraction form
    11,142.90/15,376.53 = 6,106.14/x
  3. Step 3: Cross multiply
    11,142.90x = 15,376.53 × 6,106.14
  4. Step 4: Simplify right side
    11,142.90x = 93,891,244.89
  5. Step 5: Solve for x
    x = 93,891,244.89/11,142.90
  6. Step 6: Final answer
    x = 8,426.10

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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.