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Finding the Fourth Proportional to 10,200.70, 15,297.63 and 3,625.93

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Solution

The fourth proportional to 10,200.70, 15,297.63 and 3,625.93 is: 5,437.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.70 : 15,297.63 = 3,625.93 : x
  2. Step 2: Convert to fraction form
    10,200.70/15,297.63 = 3,625.93/x
  3. Step 3: Cross multiply
    10,200.70x = 15,297.63 × 3,625.93
  4. Step 4: Simplify right side
    10,200.70x = 55,468,135.55
  5. Step 5: Solve for x
    x = 55,468,135.55/10,200.70
  6. Step 6: Final answer
    x = 5,437.68

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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.