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Finding the Fourth Proportional to 7,862.58, 10,854.86 and 5,213.59

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Solution

The fourth proportional to 7,862.58, 10,854.86 and 5,213.59 is: 7,197.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.58 : 10,854.86 = 5,213.59 : x
  2. Step 2: Convert to fraction form
    7,862.58/10,854.86 = 5,213.59/x
  3. Step 3: Cross multiply
    7,862.58x = 10,854.86 × 5,213.59
  4. Step 4: Simplify right side
    7,862.58x = 56,592,736.34
  5. Step 5: Solve for x
    x = 56,592,736.34/7,862.58
  6. Step 6: Final answer
    x = 7,197.73

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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.