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Finding the Fourth Proportional to 11,615.30, 16,042.28 and 7,831.94

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Solution

The fourth proportional to 11,615.30, 16,042.28 and 7,831.94 is: 10,816.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.30 : 16,042.28 = 7,831.94 : x
  2. Step 2: Convert to fraction form
    11,615.30/16,042.28 = 7,831.94/x
  3. Step 3: Cross multiply
    11,615.30x = 16,042.28 × 7,831.94
  4. Step 4: Simplify right side
    11,615.30x = 125,642,174.42
  5. Step 5: Solve for x
    x = 125,642,174.42/11,615.30
  6. Step 6: Final answer
    x = 10,816.95

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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.