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Finding the Fourth Proportional to 7,820.30, 11,723.58 and 4,064.17

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Solution

The fourth proportional to 7,820.30, 11,723.58 and 4,064.17 is: 6,092.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.30 : 11,723.58 = 4,064.17 : x
  2. Step 2: Convert to fraction form
    7,820.30/11,723.58 = 4,064.17/x
  3. Step 3: Cross multiply
    7,820.30x = 11,723.58 × 4,064.17
  4. Step 4: Simplify right side
    7,820.30x = 47,646,650.85
  5. Step 5: Solve for x
    x = 47,646,650.85/7,820.30
  6. Step 6: Final answer
    x = 6,092.69

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