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Finding the Fourth Proportional to 11,144.00, 15,378.65 and 6,108.43

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Solution

The fourth proportional to 11,144.00, 15,378.65 and 6,108.43 is: 8,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.00 : 15,378.65 = 6,108.43 : x
  2. Step 2: Convert to fraction form
    11,144.00/15,378.65 = 6,108.43/x
  3. Step 3: Cross multiply
    11,144.00x = 15,378.65 × 6,108.43
  4. Step 4: Simplify right side
    11,144.00x = 93,939,368.57
  5. Step 5: Solve for x
    x = 93,939,368.57/11,144.00
  6. Step 6: Final answer
    x = 8,429.60

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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.