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Finding the Fourth Proportional to 8,210.30, 12,319.57 and 3,828.10

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Solution

The fourth proportional to 8,210.30, 12,319.57 and 3,828.10 is: 5,744.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.30 : 12,319.57 = 3,828.10 : x
  2. Step 2: Convert to fraction form
    8,210.30/12,319.57 = 3,828.10/x
  3. Step 3: Cross multiply
    8,210.30x = 12,319.57 × 3,828.10
  4. Step 4: Simplify right side
    8,210.30x = 47,160,545.92
  5. Step 5: Solve for x
    x = 47,160,545.92/8,210.30
  6. Step 6: Final answer
    x = 5,744.07

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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.