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Finding the Fourth Proportional to 10,588.76, 15,894.63 and 7,963.75

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Solution

The fourth proportional to 10,588.76, 15,894.63 and 7,963.75 is: 11,954.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.76 : 15,894.63 = 7,963.75 : x
  2. Step 2: Convert to fraction form
    10,588.76/15,894.63 = 7,963.75/x
  3. Step 3: Cross multiply
    10,588.76x = 15,894.63 × 7,963.75
  4. Step 4: Simplify right side
    10,588.76x = 126,580,879.53
  5. Step 5: Solve for x
    x = 126,580,879.53/10,588.76
  6. Step 6: Final answer
    x = 11,954.27

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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.