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Finding the Fourth Proportional to 11,193.64, 16,785.07 and 6,514.70

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Solution

The fourth proportional to 11,193.64, 16,785.07 and 6,514.70 is: 9,768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193.64 : 16,785.07 = 6,514.70 : x
  2. Step 2: Convert to fraction form
    11,193.64/16,785.07 = 6,514.70/x
  3. Step 3: Cross multiply
    11,193.64x = 16,785.07 × 6,514.70
  4. Step 4: Simplify right side
    11,193.64x = 109,349,595.32
  5. Step 5: Solve for x
    x = 109,349,595.32/11,193.64
  6. Step 6: Final answer
    x = 9,768.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.