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Finding the Fourth Proportional to 7,770.21, 10,722.96 and 4,583.58

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Solution

The fourth proportional to 7,770.21, 10,722.96 and 4,583.58 is: 6,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.21 : 10,722.96 = 4,583.58 : x
  2. Step 2: Convert to fraction form
    7,770.21/10,722.96 = 4,583.58/x
  3. Step 3: Cross multiply
    7,770.21x = 10,722.96 × 4,583.58
  4. Step 4: Simplify right side
    7,770.21x = 49,149,545.00
  5. Step 5: Solve for x
    x = 49,149,545.00/7,770.21
  6. Step 6: Final answer
    x = 6,325.38

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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.