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Finding the Fourth Proportional to 7,717.84, 11,582.60 and 5,084.44

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Solution

The fourth proportional to 7,717.84, 11,582.60 and 5,084.44 is: 7,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.84 : 11,582.60 = 5,084.44 : x
  2. Step 2: Convert to fraction form
    7,717.84/11,582.60 = 5,084.44/x
  3. Step 3: Cross multiply
    7,717.84x = 11,582.60 × 5,084.44
  4. Step 4: Simplify right side
    7,717.84x = 58,890,980.37
  5. Step 5: Solve for x
    x = 58,890,980.37/7,717.84
  6. Step 6: Final answer
    x = 7,630.50

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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.