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Finding the Fourth Proportional to 11,106.21, 15,326.78 and 6,070.65

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Solution

The fourth proportional to 11,106.21, 15,326.78 and 6,070.65 is: 8,377.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106.21 : 15,326.78 = 6,070.65 : x
  2. Step 2: Convert to fraction form
    11,106.21/15,326.78 = 6,070.65/x
  3. Step 3: Cross multiply
    11,106.21x = 15,326.78 × 6,070.65
  4. Step 4: Simplify right side
    11,106.21x = 93,043,517.01
  5. Step 5: Solve for x
    x = 93,043,517.01/11,106.21
  6. Step 6: Final answer
    x = 8,377.61

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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.