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Finding the Fourth Proportional to 11,514.64, 17,257.95 and 6,504.59

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Solution

The fourth proportional to 11,514.64, 17,257.95 and 6,504.59 is: 9,748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.64 : 17,257.95 = 6,504.59 : x
  2. Step 2: Convert to fraction form
    11,514.64/17,257.95 = 6,504.59/x
  3. Step 3: Cross multiply
    11,514.64x = 17,257.95 × 6,504.59
  4. Step 4: Simplify right side
    11,514.64x = 112,255,802.70
  5. Step 5: Solve for x
    x = 112,255,802.70/11,514.64
  6. Step 6: Final answer
    x = 9,748.97

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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.