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Finding the Fourth Proportional to 8,210.32, 12,295.92 and 4,251

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Solution

The fourth proportional to 8,210.32, 12,295.92 and 4,251 is: 6,366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.32 : 12,295.92 = 4,251 : x
  2. Step 2: Convert to fraction form
    8,210.32/12,295.92 = 4,251/x
  3. Step 3: Cross multiply
    8,210.32x = 12,295.92 × 4,251
  4. Step 4: Simplify right side
    8,210.32x = 52,269,955.92
  5. Step 5: Solve for x
    x = 52,269,955.92/8,210.32
  6. Step 6: Final answer
    x = 6,366.37

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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.