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Finding the Fourth Proportional to 7,346.46, 10,137.92 and 4,202.45

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Solution

The fourth proportional to 7,346.46, 10,137.92 and 4,202.45 is: 5,799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.46 : 10,137.92 = 4,202.45 : x
  2. Step 2: Convert to fraction form
    7,346.46/10,137.92 = 4,202.45/x
  3. Step 3: Cross multiply
    7,346.46x = 10,137.92 × 4,202.45
  4. Step 4: Simplify right side
    7,346.46x = 42,604,030.20
  5. Step 5: Solve for x
    x = 42,604,030.20/7,346.46
  6. Step 6: Final answer
    x = 5,799.26

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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.