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Finding the Fourth Proportional to 7,910.02, 11,865.71 and 2,066.63

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Solution

The fourth proportional to 7,910.02, 11,865.71 and 2,066.63 is: 3,100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,910.02 : 11,865.71 = 2,066.63 : x
  2. Step 2: Convert to fraction form
    7,910.02/11,865.71 = 2,066.63/x
  3. Step 3: Cross multiply
    7,910.02x = 11,865.71 × 2,066.63
  4. Step 4: Simplify right side
    7,910.02x = 24,521,978.10
  5. Step 5: Solve for x
    x = 24,521,978.10/7,910.02
  6. Step 6: Final answer
    x = 3,100.12

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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.