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Finding the Fourth Proportional to 8,570.64, 11,847.20 and 7,881.80

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Solution

The fourth proportional to 8,570.64, 11,847.20 and 7,881.80 is: 10,895.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.64 : 11,847.20 = 7,881.80 : x
  2. Step 2: Convert to fraction form
    8,570.64/11,847.20 = 7,881.80/x
  3. Step 3: Cross multiply
    8,570.64x = 11,847.20 × 7,881.80
  4. Step 4: Simplify right side
    8,570.64x = 93,377,260.96
  5. Step 5: Solve for x
    x = 93,377,260.96/8,570.64
  6. Step 6: Final answer
    x = 10,895.02

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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.