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Finding the Fourth Proportional to 11,773.76, 17,658.72 and 4,376.48

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Solution

The fourth proportional to 11,773.76, 17,658.72 and 4,376.48 is: 6,564.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.76 : 17,658.72 = 4,376.48 : x
  2. Step 2: Convert to fraction form
    11,773.76/17,658.72 = 4,376.48/x
  3. Step 3: Cross multiply
    11,773.76x = 17,658.72 × 4,376.48
  4. Step 4: Simplify right side
    11,773.76x = 77,283,034.91
  5. Step 5: Solve for x
    x = 77,283,034.91/11,773.76
  6. Step 6: Final answer
    x = 6,564.01

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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.