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Finding the Fourth Proportional to 7,803.55, 11,706.35 and 4,105.96

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Solution

The fourth proportional to 7,803.55, 11,706.35 and 4,105.96 is: 6,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.55 : 11,706.35 = 4,105.96 : x
  2. Step 2: Convert to fraction form
    7,803.55/11,706.35 = 4,105.96/x
  3. Step 3: Cross multiply
    7,803.55x = 11,706.35 × 4,105.96
  4. Step 4: Simplify right side
    7,803.55x = 48,065,755.05
  5. Step 5: Solve for x
    x = 48,065,755.05/7,803.55
  6. Step 6: Final answer
    x = 6,159.47

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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.