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Finding the Fourth Proportional to 7,862.56, 10,854.81 and 5,213.55

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Solution

The fourth proportional to 7,862.56, 10,854.81 and 5,213.55 is: 7,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.56 : 10,854.81 = 5,213.55 : x
  2. Step 2: Convert to fraction form
    7,862.56/10,854.81 = 5,213.55/x
  3. Step 3: Cross multiply
    7,862.56x = 10,854.81 × 5,213.55
  4. Step 4: Simplify right side
    7,862.56x = 56,592,014.33
  5. Step 5: Solve for x
    x = 56,592,014.33/7,862.56
  6. Step 6: Final answer
    x = 7,197.66

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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.