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Finding the Fourth Proportional to 11,881.65, 17,824.50 and 4,088.64

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Solution

The fourth proportional to 11,881.65, 17,824.50 and 4,088.64 is: 6,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.65 : 17,824.50 = 4,088.64 : x
  2. Step 2: Convert to fraction form
    11,881.65/17,824.50 = 4,088.64/x
  3. Step 3: Cross multiply
    11,881.65x = 17,824.50 × 4,088.64
  4. Step 4: Simplify right side
    11,881.65x = 72,877,963.68
  5. Step 5: Solve for x
    x = 72,877,963.68/11,881.65
  6. Step 6: Final answer
    x = 6,133.66

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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.