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Finding the Fourth Proportional to 7,774.65, 11,662.02 and 3,092.58

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Solution

The fourth proportional to 7,774.65, 11,662.02 and 3,092.58 is: 4,638.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.65 : 11,662.02 = 3,092.58 : x
  2. Step 2: Convert to fraction form
    7,774.65/11,662.02 = 3,092.58/x
  3. Step 3: Cross multiply
    7,774.65x = 11,662.02 × 3,092.58
  4. Step 4: Simplify right side
    7,774.65x = 36,065,729.81
  5. Step 5: Solve for x
    x = 36,065,729.81/7,774.65
  6. Step 6: Final answer
    x = 4,638.89

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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.