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Finding the Fourth Proportional to 10,662.34, 15,993.05 and 3,642.98

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Solution

The fourth proportional to 10,662.34, 15,993.05 and 3,642.98 is: 5,464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.34 : 15,993.05 = 3,642.98 : x
  2. Step 2: Convert to fraction form
    10,662.34/15,993.05 = 3,642.98/x
  3. Step 3: Cross multiply
    10,662.34x = 15,993.05 × 3,642.98
  4. Step 4: Simplify right side
    10,662.34x = 58,262,356.74
  5. Step 5: Solve for x
    x = 58,262,356.74/10,662.34
  6. Step 6: Final answer
    x = 5,464.31

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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.