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Finding the Fourth Proportional to 7,852.59, 11,757.78 and 6,856.02

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Solution

The fourth proportional to 7,852.59, 11,757.78 and 6,856.02 is: 10,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.59 : 11,757.78 = 6,856.02 : x
  2. Step 2: Convert to fraction form
    7,852.59/11,757.78 = 6,856.02/x
  3. Step 3: Cross multiply
    7,852.59x = 11,757.78 × 6,856.02
  4. Step 4: Simplify right side
    7,852.59x = 80,611,574.84
  5. Step 5: Solve for x
    x = 80,611,574.84/7,852.59
  6. Step 6: Final answer
    x = 10,265.60

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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.