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Finding the Fourth Proportional to 11,524.98, 15,900.14 and 6,743.40

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Solution

The fourth proportional to 11,524.98, 15,900.14 and 6,743.40 is: 9,303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.98 : 15,900.14 = 6,743.40 : x
  2. Step 2: Convert to fraction form
    11,524.98/15,900.14 = 6,743.40/x
  3. Step 3: Cross multiply
    11,524.98x = 15,900.14 × 6,743.40
  4. Step 4: Simplify right side
    11,524.98x = 107,221,004.08
  5. Step 5: Solve for x
    x = 107,221,004.08/11,524.98
  6. Step 6: Final answer
    x = 9,303.36

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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.