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Finding the Fourth Proportional to 7,409.34, 11,116.17 and 3,024.54

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Solution

The fourth proportional to 7,409.34, 11,116.17 and 3,024.54 is: 4,537.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.34 : 11,116.17 = 3,024.54 : x
  2. Step 2: Convert to fraction form
    7,409.34/11,116.17 = 3,024.54/x
  3. Step 3: Cross multiply
    7,409.34x = 11,116.17 × 3,024.54
  4. Step 4: Simplify right side
    7,409.34x = 33,621,300.81
  5. Step 5: Solve for x
    x = 33,621,300.81/7,409.34
  6. Step 6: Final answer
    x = 4,537.69

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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.