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Finding the Fourth Proportional to 8,210.29, 11,328.12 and 5,022.43

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Solution

The fourth proportional to 8,210.29, 11,328.12 and 5,022.43 is: 6,929.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.29 : 11,328.12 = 5,022.43 : x
  2. Step 2: Convert to fraction form
    8,210.29/11,328.12 = 5,022.43/x
  3. Step 3: Cross multiply
    8,210.29x = 11,328.12 × 5,022.43
  4. Step 4: Simplify right side
    8,210.29x = 56,894,689.73
  5. Step 5: Solve for x
    x = 56,894,689.73/8,210.29
  6. Step 6: Final answer
    x = 6,929.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.