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Finding the Fourth Proportional to 11,881.53, 17,823.92 and 4,088.25

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Solution

The fourth proportional to 11,881.53, 17,823.92 and 4,088.25 is: 6,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.53 : 17,823.92 = 4,088.25 : x
  2. Step 2: Convert to fraction form
    11,881.53/17,823.92 = 4,088.25/x
  3. Step 3: Cross multiply
    11,881.53x = 17,823.92 × 4,088.25
  4. Step 4: Simplify right side
    11,881.53x = 72,868,620.50
  5. Step 5: Solve for x
    x = 72,868,620.50/11,881.53
  6. Step 6: Final answer
    x = 6,132.93

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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.