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Finding the Fourth Proportional to 7,605.28, 11,409.36 and 2,411.92

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Solution

The fourth proportional to 7,605.28, 11,409.36 and 2,411.92 is: 3,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.28 : 11,409.36 = 2,411.92 : x
  2. Step 2: Convert to fraction form
    7,605.28/11,409.36 = 2,411.92/x
  3. Step 3: Cross multiply
    7,605.28x = 11,409.36 × 2,411.92
  4. Step 4: Simplify right side
    7,605.28x = 27,518,463.57
  5. Step 5: Solve for x
    x = 27,518,463.57/7,605.28
  6. Step 6: Final answer
    x = 3,618.34

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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.