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Finding the Fourth Proportional to 8,295.08, 12,442.59 and 6,831.14

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Solution

The fourth proportional to 8,295.08, 12,442.59 and 6,831.14 is: 10,246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.08 : 12,442.59 = 6,831.14 : x
  2. Step 2: Convert to fraction form
    8,295.08/12,442.59 = 6,831.14/x
  3. Step 3: Cross multiply
    8,295.08x = 12,442.59 × 6,831.14
  4. Step 4: Simplify right side
    8,295.08x = 84,997,012.04
  5. Step 5: Solve for x
    x = 84,997,012.04/8,295.08
  6. Step 6: Final answer
    x = 10,246.68

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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.