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Finding the Fourth Proportional to 8,831.98, 12,184.64 and 5,690

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Solution

The fourth proportional to 8,831.98, 12,184.64 and 5,690 is: 7,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,831.98 : 12,184.64 = 5,690 : x
  2. Step 2: Convert to fraction form
    8,831.98/12,184.64 = 5,690/x
  3. Step 3: Cross multiply
    8,831.98x = 12,184.64 × 5,690
  4. Step 4: Simplify right side
    8,831.98x = 69,330,601.60
  5. Step 5: Solve for x
    x = 69,330,601.60/8,831.98
  6. Step 6: Final answer
    x = 7,849.95

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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.