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Finding the Fourth Proportional to 7,390.57, 10,199.22 and 4,203.78

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Solution

The fourth proportional to 7,390.57, 10,199.22 and 4,203.78 is: 5,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,390.57 : 10,199.22 = 4,203.78 : x
  2. Step 2: Convert to fraction form
    7,390.57/10,199.22 = 4,203.78/x
  3. Step 3: Cross multiply
    7,390.57x = 10,199.22 × 4,203.78
  4. Step 4: Simplify right side
    7,390.57x = 42,875,311.94
  5. Step 5: Solve for x
    x = 42,875,311.94/7,390.57
  6. Step 6: Final answer
    x = 5,801.35

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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.