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Finding the Fourth Proportional to 11,310.51, 15,608.12 and 6,833.47

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Solution

The fourth proportional to 11,310.51, 15,608.12 and 6,833.47 is: 9,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310.51 : 15,608.12 = 6,833.47 : x
  2. Step 2: Convert to fraction form
    11,310.51/15,608.12 = 6,833.47/x
  3. Step 3: Cross multiply
    11,310.51x = 15,608.12 × 6,833.47
  4. Step 4: Simplify right side
    11,310.51x = 106,657,619.78
  5. Step 5: Solve for x
    x = 106,657,619.78/11,310.51
  6. Step 6: Final answer
    x = 9,429.96

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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.