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Finding the Fourth Proportional to 7,495.98, 11,242.14 and 3,109.24

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Solution

The fourth proportional to 7,495.98, 11,242.14 and 3,109.24 is: 4,663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,495.98 : 11,242.14 = 3,109.24 : x
  2. Step 2: Convert to fraction form
    7,495.98/11,242.14 = 3,109.24/x
  3. Step 3: Cross multiply
    7,495.98x = 11,242.14 × 3,109.24
  4. Step 4: Simplify right side
    7,495.98x = 34,954,511.37
  5. Step 5: Solve for x
    x = 34,954,511.37/7,495.98
  6. Step 6: Final answer
    x = 4,663.10

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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.