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Finding the Fourth Proportional to 10,852.56, 16,278.12 and 6,497.04

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Solution

The fourth proportional to 10,852.56, 16,278.12 and 6,497.04 is: 9,745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.56 : 16,278.12 = 6,497.04 : x
  2. Step 2: Convert to fraction form
    10,852.56/16,278.12 = 6,497.04/x
  3. Step 3: Cross multiply
    10,852.56x = 16,278.12 × 6,497.04
  4. Step 4: Simplify right side
    10,852.56x = 105,759,596.76
  5. Step 5: Solve for x
    x = 105,759,596.76/10,852.56
  6. Step 6: Final answer
    x = 9,745.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.