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Finding the Fourth Proportional to 10,523.54, 14,514.45 and 6,544.82

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Solution

The fourth proportional to 10,523.54, 14,514.45 and 6,544.82 is: 9,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.54 : 14,514.45 = 6,544.82 : x
  2. Step 2: Convert to fraction form
    10,523.54/14,514.45 = 6,544.82/x
  3. Step 3: Cross multiply
    10,523.54x = 14,514.45 × 6,544.82
  4. Step 4: Simplify right side
    10,523.54x = 94,994,462.65
  5. Step 5: Solve for x
    x = 94,994,462.65/10,523.54
  6. Step 6: Final answer
    x = 9,026.85

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