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Finding the Fourth Proportional to 7,831.03, 11,746.01 and 3,671.97

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Solution

The fourth proportional to 7,831.03, 11,746.01 and 3,671.97 is: 5,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.03 : 11,746.01 = 3,671.97 : x
  2. Step 2: Convert to fraction form
    7,831.03/11,746.01 = 3,671.97/x
  3. Step 3: Cross multiply
    7,831.03x = 11,746.01 × 3,671.97
  4. Step 4: Simplify right side
    7,831.03x = 43,130,996.34
  5. Step 5: Solve for x
    x = 43,130,996.34/7,831.03
  6. Step 6: Final answer
    x = 5,507.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.