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Finding the Fourth Proportional to 11,700.14, 17,557.11 and 6,153.91

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Solution

The fourth proportional to 11,700.14, 17,557.11 and 6,153.91 is: 9,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.14 : 17,557.11 = 6,153.91 : x
  2. Step 2: Convert to fraction form
    11,700.14/17,557.11 = 6,153.91/x
  3. Step 3: Cross multiply
    11,700.14x = 17,557.11 × 6,153.91
  4. Step 4: Simplify right side
    11,700.14x = 108,044,830.91
  5. Step 5: Solve for x
    x = 108,044,830.91/11,700.14
  6. Step 6: Final answer
    x = 9,234.49

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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.