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Finding the Fourth Proportional to 11,559.26, 15,952.01 and 6,782.02

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Solution

The fourth proportional to 11,559.26, 15,952.01 and 6,782.02 is: 9,359.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.26 : 15,952.01 = 6,782.02 : x
  2. Step 2: Convert to fraction form
    11,559.26/15,952.01 = 6,782.02/x
  3. Step 3: Cross multiply
    11,559.26x = 15,952.01 × 6,782.02
  4. Step 4: Simplify right side
    11,559.26x = 108,186,777.07
  5. Step 5: Solve for x
    x = 108,186,777.07/11,559.26
  6. Step 6: Final answer
    x = 9,359.31

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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.