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Finding the Fourth Proportional to 7,342.75, 11,011.81 and 2,411.23

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Solution

The fourth proportional to 7,342.75, 11,011.81 and 2,411.23 is: 3,616.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.75 : 11,011.81 = 2,411.23 : x
  2. Step 2: Convert to fraction form
    7,342.75/11,011.81 = 2,411.23/x
  3. Step 3: Cross multiply
    7,342.75x = 11,011.81 × 2,411.23
  4. Step 4: Simplify right side
    7,342.75x = 26,552,006.63
  5. Step 5: Solve for x
    x = 26,552,006.63/7,342.75
  6. Step 6: Final answer
    x = 3,616.08

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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.