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Finding the Fourth Proportional to 8,230.10, 12,339.69 and 4,534.10

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Solution

The fourth proportional to 8,230.10, 12,339.69 and 4,534.10 is: 6,798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.10 : 12,339.69 = 4,534.10 : x
  2. Step 2: Convert to fraction form
    8,230.10/12,339.69 = 4,534.10/x
  3. Step 3: Cross multiply
    8,230.10x = 12,339.69 × 4,534.10
  4. Step 4: Simplify right side
    8,230.10x = 55,949,388.43
  5. Step 5: Solve for x
    x = 55,949,388.43/8,230.10
  6. Step 6: Final answer
    x = 6,798.14

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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.