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Finding the Fourth Proportional to 7,606.62, 11,403.27 and 3,655.91

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Solution

The fourth proportional to 7,606.62, 11,403.27 and 3,655.91 is: 5,480.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.62 : 11,403.27 = 3,655.91 : x
  2. Step 2: Convert to fraction form
    7,606.62/11,403.27 = 3,655.91/x
  3. Step 3: Cross multiply
    7,606.62x = 11,403.27 × 3,655.91
  4. Step 4: Simplify right side
    7,606.62x = 41,689,271.81
  5. Step 5: Solve for x
    x = 41,689,271.81/7,606.62
  6. Step 6: Final answer
    x = 5,480.66

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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.