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Finding the Fourth Proportional to 6,813.51, 10,224.21 and 2,864.46

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Solution

The fourth proportional to 6,813.51, 10,224.21 and 2,864.46 is: 4,298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.51 : 10,224.21 = 2,864.46 : x
  2. Step 2: Convert to fraction form
    6,813.51/10,224.21 = 2,864.46/x
  3. Step 3: Cross multiply
    6,813.51x = 10,224.21 × 2,864.46
  4. Step 4: Simplify right side
    6,813.51x = 29,286,840.58
  5. Step 5: Solve for x
    x = 29,286,840.58/6,813.51
  6. Step 6: Final answer
    x = 4,298.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.