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Finding the Fourth Proportional to 8,219.83, 12,328.13 and 6,842.02

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Solution

The fourth proportional to 8,219.83, 12,328.13 and 6,842.02 is: 10,261.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.83 : 12,328.13 = 6,842.02 : x
  2. Step 2: Convert to fraction form
    8,219.83/12,328.13 = 6,842.02/x
  3. Step 3: Cross multiply
    8,219.83x = 12,328.13 × 6,842.02
  4. Step 4: Simplify right side
    8,219.83x = 84,349,298.31
  5. Step 5: Solve for x
    x = 84,349,298.31/8,219.83
  6. Step 6: Final answer
    x = 10,261.69

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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.