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Finding the Fourth Proportional to 7,606.61, 11,407.10 and 3,164.04

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Solution

The fourth proportional to 7,606.61, 11,407.10 and 3,164.04 is: 4,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.61 : 11,407.10 = 3,164.04 : x
  2. Step 2: Convert to fraction form
    7,606.61/11,407.10 = 3,164.04/x
  3. Step 3: Cross multiply
    7,606.61x = 11,407.10 × 3,164.04
  4. Step 4: Simplify right side
    7,606.61x = 36,092,499.48
  5. Step 5: Solve for x
    x = 36,092,499.48/7,606.61
  6. Step 6: Final answer
    x = 4,744.89

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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.