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Finding the Fourth Proportional to 11,148.60, 15,384.97 and 6,112.80

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Solution

The fourth proportional to 11,148.60, 15,384.97 and 6,112.80 is: 8,435.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,148.60 : 15,384.97 = 6,112.80 : x
  2. Step 2: Convert to fraction form
    11,148.60/15,384.97 = 6,112.80/x
  3. Step 3: Cross multiply
    11,148.60x = 15,384.97 × 6,112.80
  4. Step 4: Simplify right side
    11,148.60x = 94,045,252.26
  5. Step 5: Solve for x
    x = 94,045,252.26/11,148.60
  6. Step 6: Final answer
    x = 8,435.61

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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.