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Finding the Fourth Proportional to 11,800.17, 17,700.31 and 4,780.32

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Solution

The fourth proportional to 11,800.17, 17,700.31 and 4,780.32 is: 7,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.17 : 17,700.31 = 4,780.32 : x
  2. Step 2: Convert to fraction form
    11,800.17/17,700.31 = 4,780.32/x
  3. Step 3: Cross multiply
    11,800.17x = 17,700.31 × 4,780.32
  4. Step 4: Simplify right side
    11,800.17x = 84,613,122.00
  5. Step 5: Solve for x
    x = 84,613,122.00/11,800.17
  6. Step 6: Final answer
    x = 7,170.50

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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.