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Finding the Fourth Proportional to 11,259.46, 15,537.18 and 6,544

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Solution

The fourth proportional to 11,259.46, 15,537.18 and 6,544 is: 9,030.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259.46 : 15,537.18 = 6,544 : x
  2. Step 2: Convert to fraction form
    11,259.46/15,537.18 = 6,544/x
  3. Step 3: Cross multiply
    11,259.46x = 15,537.18 × 6,544
  4. Step 4: Simplify right side
    11,259.46x = 101,675,305.92
  5. Step 5: Solve for x
    x = 101,675,305.92/11,259.46
  6. Step 6: Final answer
    x = 9,030.21

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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.