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Finding the Fourth Proportional to 11,085.66, 15,296.82 and 6,780.91

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Solution

The fourth proportional to 11,085.66, 15,296.82 and 6,780.91 is: 9,356.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,085.66 : 15,296.82 = 6,780.91 : x
  2. Step 2: Convert to fraction form
    11,085.66/15,296.82 = 6,780.91/x
  3. Step 3: Cross multiply
    11,085.66x = 15,296.82 × 6,780.91
  4. Step 4: Simplify right side
    11,085.66x = 103,726,359.71
  5. Step 5: Solve for x
    x = 103,726,359.71/11,085.66
  6. Step 6: Final answer
    x = 9,356.81

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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.