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Finding the Fourth Proportional to 10,187.86, 14,041.38 and 8,768.02

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Solution

The fourth proportional to 10,187.86, 14,041.38 and 8,768.02 is: 12,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,187.86 : 14,041.38 = 8,768.02 : x
  2. Step 2: Convert to fraction form
    10,187.86/14,041.38 = 8,768.02/x
  3. Step 3: Cross multiply
    10,187.86x = 14,041.38 × 8,768.02
  4. Step 4: Simplify right side
    10,187.86x = 123,115,100.67
  5. Step 5: Solve for x
    x = 123,115,100.67/10,187.86
  6. Step 6: Final answer
    x = 12,084.49

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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.