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Finding the Fourth Proportional to 7,773.66, 10,733.18 and 4,790.43

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Solution

The fourth proportional to 7,773.66, 10,733.18 and 4,790.43 is: 6,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.66 : 10,733.18 = 4,790.43 : x
  2. Step 2: Convert to fraction form
    7,773.66/10,733.18 = 4,790.43/x
  3. Step 3: Cross multiply
    7,773.66x = 10,733.18 × 4,790.43
  4. Step 4: Simplify right side
    7,773.66x = 51,416,523.52
  5. Step 5: Solve for x
    x = 51,416,523.52/7,773.66
  6. Step 6: Final answer
    x = 6,614.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.