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Finding the Fourth Proportional to 7,885.76, 10,876.98 and 6,698.70

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Solution

The fourth proportional to 7,885.76, 10,876.98 and 6,698.70 is: 9,239.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.76 : 10,876.98 = 6,698.70 : x
  2. Step 2: Convert to fraction form
    7,885.76/10,876.98 = 6,698.70/x
  3. Step 3: Cross multiply
    7,885.76x = 10,876.98 × 6,698.70
  4. Step 4: Simplify right side
    7,885.76x = 72,861,651.05
  5. Step 5: Solve for x
    x = 72,861,651.05/7,885.76
  6. Step 6: Final answer
    x = 9,239.65

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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.