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Finding the Fourth Proportional to 11,338.80, 15,647.46 and 6,303.48

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Solution

The fourth proportional to 11,338.80, 15,647.46 and 6,303.48 is: 8,698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.80 : 15,647.46 = 6,303.48 : x
  2. Step 2: Convert to fraction form
    11,338.80/15,647.46 = 6,303.48/x
  3. Step 3: Cross multiply
    11,338.80x = 15,647.46 × 6,303.48
  4. Step 4: Simplify right side
    11,338.80x = 98,633,451.16
  5. Step 5: Solve for x
    x = 98,633,451.16/11,338.80
  6. Step 6: Final answer
    x = 8,698.76

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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.