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Finding the Fourth Proportional to 7,583.84, 11,378.10 and 3,888.68

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Solution

The fourth proportional to 7,583.84, 11,378.10 and 3,888.68 is: 5,834.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.84 : 11,378.10 = 3,888.68 : x
  2. Step 2: Convert to fraction form
    7,583.84/11,378.10 = 3,888.68/x
  3. Step 3: Cross multiply
    7,583.84x = 11,378.10 × 3,888.68
  4. Step 4: Simplify right side
    7,583.84x = 44,245,789.91
  5. Step 5: Solve for x
    x = 44,245,789.91/7,583.84
  6. Step 6: Final answer
    x = 5,834.22

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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.