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Finding the Fourth Proportional to 11,146.23, 15,398.52 and 7,326.98

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Solution

The fourth proportional to 11,146.23, 15,398.52 and 7,326.98 is: 10,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.23 : 15,398.52 = 7,326.98 : x
  2. Step 2: Convert to fraction form
    11,146.23/15,398.52 = 7,326.98/x
  3. Step 3: Cross multiply
    11,146.23x = 15,398.52 × 7,326.98
  4. Step 4: Simplify right side
    11,146.23x = 112,824,571.08
  5. Step 5: Solve for x
    x = 112,824,571.08/11,146.23
  6. Step 6: Final answer
    x = 10,122.22

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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.