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Finding the Fourth Proportional to 7,346.48, 10,138.03 and 4,202.06

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Solution

The fourth proportional to 7,346.48, 10,138.03 and 4,202.06 is: 5,798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.48 : 10,138.03 = 4,202.06 : x
  2. Step 2: Convert to fraction form
    7,346.48/10,138.03 = 4,202.06/x
  3. Step 3: Cross multiply
    7,346.48x = 10,138.03 × 4,202.06
  4. Step 4: Simplify right side
    7,346.48x = 42,600,549.15
  5. Step 5: Solve for x
    x = 42,600,549.15/7,346.48
  6. Step 6: Final answer
    x = 5,798.77

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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.