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Finding the Fourth Proportional to 8,411.16, 11,607.24 and 4,634.40

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Solution

The fourth proportional to 8,411.16, 11,607.24 and 4,634.40 is: 6,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.16 : 11,607.24 = 4,634.40 : x
  2. Step 2: Convert to fraction form
    8,411.16/11,607.24 = 4,634.40/x
  3. Step 3: Cross multiply
    8,411.16x = 11,607.24 × 4,634.40
  4. Step 4: Simplify right side
    8,411.16x = 53,792,593.06
  5. Step 5: Solve for x
    x = 53,792,593.06/8,411.16
  6. Step 6: Final answer
    x = 6,395.38

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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.