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Finding the Fourth Proportional to 7,105.60, 10,656.85 and 4,137.76

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Solution

The fourth proportional to 7,105.60, 10,656.85 and 4,137.76 is: 6,205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.60 : 10,656.85 = 4,137.76 : x
  2. Step 2: Convert to fraction form
    7,105.60/10,656.85 = 4,137.76/x
  3. Step 3: Cross multiply
    7,105.60x = 10,656.85 × 4,137.76
  4. Step 4: Simplify right side
    7,105.60x = 44,095,487.66
  5. Step 5: Solve for x
    x = 44,095,487.66/7,105.60
  6. Step 6: Final answer
    x = 6,205.74

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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.