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Finding the Fourth Proportional to 7,607.26, 11,412.24 and 2,411.92

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Solution

The fourth proportional to 7,607.26, 11,412.24 and 2,411.92 is: 3,618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.26 : 11,412.24 = 2,411.92 : x
  2. Step 2: Convert to fraction form
    7,607.26/11,412.24 = 2,411.92/x
  3. Step 3: Cross multiply
    7,607.26x = 11,412.24 × 2,411.92
  4. Step 4: Simplify right side
    7,607.26x = 27,525,409.90
  5. Step 5: Solve for x
    x = 27,525,409.90/7,607.26
  6. Step 6: Final answer
    x = 3,618.31

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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.