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Finding the Fourth Proportional to 8,512.05, 11,750.76 and 5,681.10

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Solution

The fourth proportional to 8,512.05, 11,750.76 and 5,681.10 is: 7,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.05 : 11,750.76 = 5,681.10 : x
  2. Step 2: Convert to fraction form
    8,512.05/11,750.76 = 5,681.10/x
  3. Step 3: Cross multiply
    8,512.05x = 11,750.76 × 5,681.10
  4. Step 4: Simplify right side
    8,512.05x = 66,757,242.64
  5. Step 5: Solve for x
    x = 66,757,242.64/8,512.05
  6. Step 6: Final answer
    x = 7,842.68

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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.