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Finding the Fourth Proportional to 6,323.13, 8,724.15 and 4,085.10

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Solution

The fourth proportional to 6,323.13, 8,724.15 and 4,085.10 is: 5,636.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.13 : 8,724.15 = 4,085.10 : x
  2. Step 2: Convert to fraction form
    6,323.13/8,724.15 = 4,085.10/x
  3. Step 3: Cross multiply
    6,323.13x = 8,724.15 × 4,085.10
  4. Step 4: Simplify right side
    6,323.13x = 35,639,025.17
  5. Step 5: Solve for x
    x = 35,639,025.17/6,323.13
  6. Step 6: Final answer
    x = 5,636.29

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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.