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Finding the Fourth Proportional to 7,606.04, 11,409.46 and 2,411.50

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Solution

The fourth proportional to 7,606.04, 11,409.46 and 2,411.50 is: 3,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.04 : 11,409.46 = 2,411.50 : x
  2. Step 2: Convert to fraction form
    7,606.04/11,409.46 = 2,411.50/x
  3. Step 3: Cross multiply
    7,606.04x = 11,409.46 × 2,411.50
  4. Step 4: Simplify right side
    7,606.04x = 27,513,912.79
  5. Step 5: Solve for x
    x = 27,513,912.79/7,606.04
  6. Step 6: Final answer
    x = 3,617.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.