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Finding the Fourth Proportional to 11,588.93, 15,992.61 and 6,283.66

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Solution

The fourth proportional to 11,588.93, 15,992.61 and 6,283.66 is: 8,671.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.93 : 15,992.61 = 6,283.66 : x
  2. Step 2: Convert to fraction form
    11,588.93/15,992.61 = 6,283.66/x
  3. Step 3: Cross multiply
    11,588.93x = 15,992.61 × 6,283.66
  4. Step 4: Simplify right side
    11,588.93x = 100,492,043.79
  5. Step 5: Solve for x
    x = 100,492,043.79/11,588.93
  6. Step 6: Final answer
    x = 8,671.38

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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.