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Finding the Fourth Proportional to 7,773.13, 11,644.08 and 3,607.42

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Solution

The fourth proportional to 7,773.13, 11,644.08 and 3,607.42 is: 5,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.13 : 11,644.08 = 3,607.42 : x
  2. Step 2: Convert to fraction form
    7,773.13/11,644.08 = 3,607.42/x
  3. Step 3: Cross multiply
    7,773.13x = 11,644.08 × 3,607.42
  4. Step 4: Simplify right side
    7,773.13x = 42,005,087.07
  5. Step 5: Solve for x
    x = 42,005,087.07/7,773.13
  6. Step 6: Final answer
    x = 5,403.88

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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.