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Finding the Fourth Proportional to 7,856.88, 11,839.35 and 6,500.73

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Solution

The fourth proportional to 7,856.88, 11,839.35 and 6,500.73 is: 9,795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.88 : 11,839.35 = 6,500.73 : x
  2. Step 2: Convert to fraction form
    7,856.88/11,839.35 = 6,500.73/x
  3. Step 3: Cross multiply
    7,856.88x = 11,839.35 × 6,500.73
  4. Step 4: Simplify right side
    7,856.88x = 76,964,417.73
  5. Step 5: Solve for x
    x = 76,964,417.73/7,856.88
  6. Step 6: Final answer
    x = 9,795.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.