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Finding the Fourth Proportional to 11,251.94, 15,530.81 and 6,537.13

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Solution

The fourth proportional to 11,251.94, 15,530.81 and 6,537.13 is: 9,023.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,251.94 : 15,530.81 = 6,537.13 : x
  2. Step 2: Convert to fraction form
    11,251.94/15,530.81 = 6,537.13/x
  3. Step 3: Cross multiply
    11,251.94x = 15,530.81 × 6,537.13
  4. Step 4: Simplify right side
    11,251.94x = 101,526,852.46
  5. Step 5: Solve for x
    x = 101,526,852.46/11,251.94
  6. Step 6: Final answer
    x = 9,023.06

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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.