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Finding the Fourth Proportional to 10,050.57, 13,864.64 and 6,514.92

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Solution

The fourth proportional to 10,050.57, 13,864.64 and 6,514.92 is: 8,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,050.57 : 13,864.64 = 6,514.92 : x
  2. Step 2: Convert to fraction form
    10,050.57/13,864.64 = 6,514.92/x
  3. Step 3: Cross multiply
    10,050.57x = 13,864.64 × 6,514.92
  4. Step 4: Simplify right side
    10,050.57x = 90,326,987.85
  5. Step 5: Solve for x
    x = 90,326,987.85/10,050.57
  6. Step 6: Final answer
    x = 8,987.25

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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.