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Finding the Fourth Proportional to 11,476.89, 15,833.88 and 7,226.82

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Solution

The fourth proportional to 11,476.89, 15,833.88 and 7,226.82 is: 9,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.89 : 15,833.88 = 7,226.82 : x
  2. Step 2: Convert to fraction form
    11,476.89/15,833.88 = 7,226.82/x
  3. Step 3: Cross multiply
    11,476.89x = 15,833.88 × 7,226.82
  4. Step 4: Simplify right side
    11,476.89x = 114,428,600.66
  5. Step 5: Solve for x
    x = 114,428,600.66/11,476.89
  6. Step 6: Final answer
    x = 9,970.35

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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.