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Finding the Fourth Proportional to 7,666.41, 11,499.75 and 2,472.30

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Solution

The fourth proportional to 7,666.41, 11,499.75 and 2,472.30 is: 3,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.41 : 11,499.75 = 2,472.30 : x
  2. Step 2: Convert to fraction form
    7,666.41/11,499.75 = 2,472.30/x
  3. Step 3: Cross multiply
    7,666.41x = 11,499.75 × 2,472.30
  4. Step 4: Simplify right side
    7,666.41x = 28,430,831.93
  5. Step 5: Solve for x
    x = 28,430,831.93/7,666.41
  6. Step 6: Final answer
    x = 3,708.49

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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.