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Finding the Fourth Proportional to 8,345.38, 11,514.90 and 5,360.80

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Solution

The fourth proportional to 8,345.38, 11,514.90 and 5,360.80 is: 7,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,345.38 : 11,514.90 = 5,360.80 : x
  2. Step 2: Convert to fraction form
    8,345.38/11,514.90 = 5,360.80/x
  3. Step 3: Cross multiply
    8,345.38x = 11,514.90 × 5,360.80
  4. Step 4: Simplify right side
    8,345.38x = 61,729,075.92
  5. Step 5: Solve for x
    x = 61,729,075.92/8,345.38
  6. Step 6: Final answer
    x = 7,396.80

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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.