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Finding the Fourth Proportional to 7,778.64, 10,734.30 and 4,421.82

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Solution

The fourth proportional to 7,778.64, 10,734.30 and 4,421.82 is: 6,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.64 : 10,734.30 = 4,421.82 : x
  2. Step 2: Convert to fraction form
    7,778.64/10,734.30 = 4,421.82/x
  3. Step 3: Cross multiply
    7,778.64x = 10,734.30 × 4,421.82
  4. Step 4: Simplify right side
    7,778.64x = 47,465,142.43
  5. Step 5: Solve for x
    x = 47,465,142.43/7,778.64
  6. Step 6: Final answer
    x = 6,101.98

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