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Finding the Fourth Proportional to 11,257.97, 15,537.35 and 7,065.41

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Solution

The fourth proportional to 11,257.97, 15,537.35 and 7,065.41 is: 9,751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,257.97 : 15,537.35 = 7,065.41 : x
  2. Step 2: Convert to fraction form
    11,257.97/15,537.35 = 7,065.41/x
  3. Step 3: Cross multiply
    11,257.97x = 15,537.35 × 7,065.41
  4. Step 4: Simplify right side
    11,257.97x = 109,777,688.04
  5. Step 5: Solve for x
    x = 109,777,688.04/11,257.97
  6. Step 6: Final answer
    x = 9,751.11

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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.