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Finding the Fourth Proportional to 10,022.78, 13,831.38 and 5,606.78

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Solution

The fourth proportional to 10,022.78, 13,831.38 and 5,606.78 is: 7,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.78 : 13,831.38 = 5,606.78 : x
  2. Step 2: Convert to fraction form
    10,022.78/13,831.38 = 5,606.78/x
  3. Step 3: Cross multiply
    10,022.78x = 13,831.38 × 5,606.78
  4. Step 4: Simplify right side
    10,022.78x = 77,549,504.76
  5. Step 5: Solve for x
    x = 77,549,504.76/10,022.78
  6. Step 6: Final answer
    x = 7,737.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.