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Finding the Fourth Proportional to 11,106.23, 15,326.01 and 6,326.15

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Solution

The fourth proportional to 11,106.23, 15,326.01 and 6,326.15 is: 8,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106.23 : 15,326.01 = 6,326.15 : x
  2. Step 2: Convert to fraction form
    11,106.23/15,326.01 = 6,326.15/x
  3. Step 3: Cross multiply
    11,106.23x = 15,326.01 × 6,326.15
  4. Step 4: Simplify right side
    11,106.23x = 96,954,561.53
  5. Step 5: Solve for x
    x = 96,954,561.53/11,106.23
  6. Step 6: Final answer
    x = 8,729.75

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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.