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Finding the Fourth Proportional to 7,887.93, 11,831.49 and 2,341.32

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Solution

The fourth proportional to 7,887.93, 11,831.49 and 2,341.32 is: 3,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.93 : 11,831.49 = 2,341.32 : x
  2. Step 2: Convert to fraction form
    7,887.93/11,831.49 = 2,341.32/x
  3. Step 3: Cross multiply
    7,887.93x = 11,831.49 × 2,341.32
  4. Step 4: Simplify right side
    7,887.93x = 27,701,304.17
  5. Step 5: Solve for x
    x = 27,701,304.17/7,887.93
  6. Step 6: Final answer
    x = 3,511.86

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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.