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Finding the Fourth Proportional to 10,663.34, 15,993.20 and 2,870.42

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Solution

The fourth proportional to 10,663.34, 15,993.20 and 2,870.42 is: 4,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.34 : 15,993.20 = 2,870.42 : x
  2. Step 2: Convert to fraction form
    10,663.34/15,993.20 = 2,870.42/x
  3. Step 3: Cross multiply
    10,663.34x = 15,993.20 × 2,870.42
  4. Step 4: Simplify right side
    10,663.34x = 45,907,201.14
  5. Step 5: Solve for x
    x = 45,907,201.14/10,663.34
  6. Step 6: Final answer
    x = 4,305.14

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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.