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Finding the Fourth Proportional to 8,571.42, 11,812.77 and 7,070.22

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Solution

The fourth proportional to 8,571.42, 11,812.77 and 7,070.22 is: 9,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.42 : 11,812.77 = 7,070.22 : x
  2. Step 2: Convert to fraction form
    8,571.42/11,812.77 = 7,070.22/x
  3. Step 3: Cross multiply
    8,571.42x = 11,812.77 × 7,070.22
  4. Step 4: Simplify right side
    8,571.42x = 83,518,882.71
  5. Step 5: Solve for x
    x = 83,518,882.71/8,571.42
  6. Step 6: Final answer
    x = 9,743.88

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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.