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Finding the Fourth Proportional to 7,756.83, 10,704.60 and 4,220.19

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Solution

The fourth proportional to 7,756.83, 10,704.60 and 4,220.19 is: 5,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.83 : 10,704.60 = 4,220.19 : x
  2. Step 2: Convert to fraction form
    7,756.83/10,704.60 = 4,220.19/x
  3. Step 3: Cross multiply
    7,756.83x = 10,704.60 × 4,220.19
  4. Step 4: Simplify right side
    7,756.83x = 45,175,445.87
  5. Step 5: Solve for x
    x = 45,175,445.87/7,756.83
  6. Step 6: Final answer
    x = 5,823.96

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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.