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Finding the Fourth Proportional to 7,610.69, 11,416.80 and 2,064.13

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Solution

The fourth proportional to 7,610.69, 11,416.80 and 2,064.13 is: 3,096.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.69 : 11,416.80 = 2,064.13 : x
  2. Step 2: Convert to fraction form
    7,610.69/11,416.80 = 2,064.13/x
  3. Step 3: Cross multiply
    7,610.69x = 11,416.80 × 2,064.13
  4. Step 4: Simplify right side
    7,610.69x = 23,565,759.38
  5. Step 5: Solve for x
    x = 23,565,759.38/7,610.69
  6. Step 6: Final answer
    x = 3,096.40

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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.