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Finding the Fourth Proportional to 11,352.09, 15,659.49 and 6,813.61

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Solution

The fourth proportional to 11,352.09, 15,659.49 and 6,813.61 is: 9,398.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,352.09 : 15,659.49 = 6,813.61 : x
  2. Step 2: Convert to fraction form
    11,352.09/15,659.49 = 6,813.61/x
  3. Step 3: Cross multiply
    11,352.09x = 15,659.49 × 6,813.61
  4. Step 4: Simplify right side
    11,352.09x = 106,697,657.66
  5. Step 5: Solve for x
    x = 106,697,657.66/11,352.09
  6. Step 6: Final answer
    x = 9,398.94

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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.