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Finding the Fourth Proportional to 11,542.97, 15,928.08 and 6,507.07

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Solution

The fourth proportional to 11,542.97, 15,928.08 and 6,507.07 is: 8,979.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.97 : 15,928.08 = 6,507.07 : x
  2. Step 2: Convert to fraction form
    11,542.97/15,928.08 = 6,507.07/x
  3. Step 3: Cross multiply
    11,542.97x = 15,928.08 × 6,507.07
  4. Step 4: Simplify right side
    11,542.97x = 103,645,051.89
  5. Step 5: Solve for x
    x = 103,645,051.89/11,542.97
  6. Step 6: Final answer
    x = 8,979.06

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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.