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Finding the Fourth Proportional to 7,820.92, 10,806.86 and 6,261.88

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Solution

The fourth proportional to 7,820.92, 10,806.86 and 6,261.88 is: 8,652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.92 : 10,806.86 = 6,261.88 : x
  2. Step 2: Convert to fraction form
    7,820.92/10,806.86 = 6,261.88/x
  3. Step 3: Cross multiply
    7,820.92x = 10,806.86 × 6,261.88
  4. Step 4: Simplify right side
    7,820.92x = 67,671,260.50
  5. Step 5: Solve for x
    x = 67,671,260.50/7,820.92
  6. Step 6: Final answer
    x = 8,652.60

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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.