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Finding the Fourth Proportional to 11,737.64, 17,607.24 and 4,341.92

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Solution

The fourth proportional to 11,737.64, 17,607.24 and 4,341.92 is: 6,513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.64 : 17,607.24 = 4,341.92 : x
  2. Step 2: Convert to fraction form
    11,737.64/17,607.24 = 4,341.92/x
  3. Step 3: Cross multiply
    11,737.64x = 17,607.24 × 4,341.92
  4. Step 4: Simplify right side
    11,737.64x = 76,449,227.50
  5. Step 5: Solve for x
    x = 76,449,227.50/11,737.64
  6. Step 6: Final answer
    x = 6,513.17

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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.