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Finding the Fourth Proportional to 10,514.73, 15,779.97 and 7,175.10

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Solution

The fourth proportional to 10,514.73, 15,779.97 and 7,175.10 is: 10,768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.73 : 15,779.97 = 7,175.10 : x
  2. Step 2: Convert to fraction form
    10,514.73/15,779.97 = 7,175.10/x
  3. Step 3: Cross multiply
    10,514.73x = 15,779.97 × 7,175.10
  4. Step 4: Simplify right side
    10,514.73x = 113,222,862.75
  5. Step 5: Solve for x
    x = 113,222,862.75/10,514.73
  6. Step 6: Final answer
    x = 10,768.02

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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.