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Finding the Fourth Proportional to 10,021.61, 13,831.12 and 6,044.92

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Solution

The fourth proportional to 10,021.61, 13,831.12 and 6,044.92 is: 8,342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.61 : 13,831.12 = 6,044.92 : x
  2. Step 2: Convert to fraction form
    10,021.61/13,831.12 = 6,044.92/x
  3. Step 3: Cross multiply
    10,021.61x = 13,831.12 × 6,044.92
  4. Step 4: Simplify right side
    10,021.61x = 83,608,013.91
  5. Step 5: Solve for x
    x = 83,608,013.91/10,021.61
  6. Step 6: Final answer
    x = 8,342.77

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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.