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Finding the Fourth Proportional to 7,858.10, 10,841.48 and 4,872.86

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Solution

The fourth proportional to 7,858.10, 10,841.48 and 4,872.86 is: 6,722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.10 : 10,841.48 = 4,872.86 : x
  2. Step 2: Convert to fraction form
    7,858.10/10,841.48 = 4,872.86/x
  3. Step 3: Cross multiply
    7,858.10x = 10,841.48 × 4,872.86
  4. Step 4: Simplify right side
    7,858.10x = 52,829,014.23
  5. Step 5: Solve for x
    x = 52,829,014.23/7,858.10
  6. Step 6: Final answer
    x = 6,722.87

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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.