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Finding the Fourth Proportional to 7,582.94, 11,352.81 and 6,839.90

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Solution

The fourth proportional to 7,582.94, 11,352.81 and 6,839.90 is: 10,240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.94 : 11,352.81 = 6,839.90 : x
  2. Step 2: Convert to fraction form
    7,582.94/11,352.81 = 6,839.90/x
  3. Step 3: Cross multiply
    7,582.94x = 11,352.81 × 6,839.90
  4. Step 4: Simplify right side
    7,582.94x = 77,652,085.12
  5. Step 5: Solve for x
    x = 77,652,085.12/7,582.94
  6. Step 6: Final answer
    x = 10,240.37

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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.