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Finding the Fourth Proportional to 6,866.64, 10,300.32 and 2,187.05

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Solution

The fourth proportional to 6,866.64, 10,300.32 and 2,187.05 is: 3,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.64 : 10,300.32 = 2,187.05 : x
  2. Step 2: Convert to fraction form
    6,866.64/10,300.32 = 2,187.05/x
  3. Step 3: Cross multiply
    6,866.64x = 10,300.32 × 2,187.05
  4. Step 4: Simplify right side
    6,866.64x = 22,527,263.35
  5. Step 5: Solve for x
    x = 22,527,263.35/6,866.64
  6. Step 6: Final answer
    x = 3,280.68

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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.