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Finding the Fourth Proportional to 10,085.76, 15,131.07 and 3,511.98

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Solution

The fourth proportional to 10,085.76, 15,131.07 and 3,511.98 is: 5,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.76 : 15,131.07 = 3,511.98 : x
  2. Step 2: Convert to fraction form
    10,085.76/15,131.07 = 3,511.98/x
  3. Step 3: Cross multiply
    10,085.76x = 15,131.07 × 3,511.98
  4. Step 4: Simplify right side
    10,085.76x = 53,140,015.22
  5. Step 5: Solve for x
    x = 53,140,015.22/10,085.76
  6. Step 6: Final answer
    x = 5,268.82

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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.