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Finding the Fourth Proportional to 7,771.74, 11,628.91 and 4,653.95

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Solution

The fourth proportional to 7,771.74, 11,628.91 and 4,653.95 is: 6,963.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.74 : 11,628.91 = 4,653.95 : x
  2. Step 2: Convert to fraction form
    7,771.74/11,628.91 = 4,653.95/x
  3. Step 3: Cross multiply
    7,771.74x = 11,628.91 × 4,653.95
  4. Step 4: Simplify right side
    7,771.74x = 54,120,342.42
  5. Step 5: Solve for x
    x = 54,120,342.42/7,771.74
  6. Step 6: Final answer
    x = 6,963.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.