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Finding the Fourth Proportional to 8,349.12, 11,495.52 and 6,782.40

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Solution

The fourth proportional to 8,349.12, 11,495.52 and 6,782.40 is: 9,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.12 : 11,495.52 = 6,782.40 : x
  2. Step 2: Convert to fraction form
    8,349.12/11,495.52 = 6,782.40/x
  3. Step 3: Cross multiply
    8,349.12x = 11,495.52 × 6,782.40
  4. Step 4: Simplify right side
    8,349.12x = 77,967,214.85
  5. Step 5: Solve for x
    x = 77,967,214.85/8,349.12
  6. Step 6: Final answer
    x = 9,338.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.