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Finding the Fourth Proportional to 7,857.10, 10,840.10 and 4,871.86

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Solution

The fourth proportional to 7,857.10, 10,840.10 and 4,871.86 is: 6,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.10 : 10,840.10 = 4,871.86 : x
  2. Step 2: Convert to fraction form
    7,857.10/10,840.10 = 4,871.86/x
  3. Step 3: Cross multiply
    7,857.10x = 10,840.10 × 4,871.86
  4. Step 4: Simplify right side
    7,857.10x = 52,811,449.59
  5. Step 5: Solve for x
    x = 52,811,449.59/7,857.10
  6. Step 6: Final answer
    x = 6,721.49

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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.