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Finding the Fourth Proportional to 11,009.89, 15,193.65 and 6,294.28

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Solution

The fourth proportional to 11,009.89, 15,193.65 and 6,294.28 is: 8,686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.89 : 15,193.65 = 6,294.28 : x
  2. Step 2: Convert to fraction form
    11,009.89/15,193.65 = 6,294.28/x
  3. Step 3: Cross multiply
    11,009.89x = 15,193.65 × 6,294.28
  4. Step 4: Simplify right side
    11,009.89x = 95,633,087.32
  5. Step 5: Solve for x
    x = 95,633,087.32/11,009.89
  6. Step 6: Final answer
    x = 8,686.11

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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.