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Finding the Fourth Proportional to 5,010.09, 7,514.96 and 1,312.29

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Solution

The fourth proportional to 5,010.09, 7,514.96 and 1,312.29 is: 1,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010.09 : 7,514.96 = 1,312.29 : x
  2. Step 2: Convert to fraction form
    5,010.09/7,514.96 = 1,312.29/x
  3. Step 3: Cross multiply
    5,010.09x = 7,514.96 × 1,312.29
  4. Step 4: Simplify right side
    5,010.09x = 9,861,806.86
  5. Step 5: Solve for x
    x = 9,861,806.86/5,010.09
  6. Step 6: Final answer
    x = 1,968.39

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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.