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Finding the Fourth Proportional to 10,831.30, 16,246.95 and 8,644.30

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Solution

The fourth proportional to 10,831.30, 16,246.95 and 8,644.30 is: 12,966.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,831.30 : 16,246.95 = 8,644.30 : x
  2. Step 2: Convert to fraction form
    10,831.30/16,246.95 = 8,644.30/x
  3. Step 3: Cross multiply
    10,831.30x = 16,246.95 × 8,644.30
  4. Step 4: Simplify right side
    10,831.30x = 140,443,509.89
  5. Step 5: Solve for x
    x = 140,443,509.89/10,831.30
  6. Step 6: Final answer
    x = 12,966.45

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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.