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Finding the Fourth Proportional to 6,827.50, 10,242.87 and 2,210.50

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Solution

The fourth proportional to 6,827.50, 10,242.87 and 2,210.50 is: 3,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.50 : 10,242.87 = 2,210.50 : x
  2. Step 2: Convert to fraction form
    6,827.50/10,242.87 = 2,210.50/x
  3. Step 3: Cross multiply
    6,827.50x = 10,242.87 × 2,210.50
  4. Step 4: Simplify right side
    6,827.50x = 22,641,864.14
  5. Step 5: Solve for x
    x = 22,641,864.14/6,827.50
  6. Step 6: Final answer
    x = 3,316.27

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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.