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Finding the Fourth Proportional to 11,507.31, 15,886.87 and 10,843.02

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Solution

The fourth proportional to 11,507.31, 15,886.87 and 10,843.02 is: 14,969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.31 : 15,886.87 = 10,843.02 : x
  2. Step 2: Convert to fraction form
    11,507.31/15,886.87 = 10,843.02/x
  3. Step 3: Cross multiply
    11,507.31x = 15,886.87 × 10,843.02
  4. Step 4: Simplify right side
    11,507.31x = 172,261,622.04
  5. Step 5: Solve for x
    x = 172,261,622.04/11,507.31
  6. Step 6: Final answer
    x = 14,969.76

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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.