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Finding the Fourth Proportional to 7,774.17, 11,662.88 and 2,509.58

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Solution

The fourth proportional to 7,774.17, 11,662.88 and 2,509.58 is: 3,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.17 : 11,662.88 = 2,509.58 : x
  2. Step 2: Convert to fraction form
    7,774.17/11,662.88 = 2,509.58/x
  3. Step 3: Cross multiply
    7,774.17x = 11,662.88 × 2,509.58
  4. Step 4: Simplify right side
    7,774.17x = 29,268,859.53
  5. Step 5: Solve for x
    x = 29,268,859.53/7,774.17
  6. Step 6: Final answer
    x = 3,764.89

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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.