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Finding the Fourth Proportional to 11,309.52, 15,607.76 and 6,833.23

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Solution

The fourth proportional to 11,309.52, 15,607.76 and 6,833.23 is: 9,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.52 : 15,607.76 = 6,833.23 : x
  2. Step 2: Convert to fraction form
    11,309.52/15,607.76 = 6,833.23/x
  3. Step 3: Cross multiply
    11,309.52x = 15,607.76 × 6,833.23
  4. Step 4: Simplify right side
    11,309.52x = 106,651,340.68
  5. Step 5: Solve for x
    x = 106,651,340.68/11,309.52
  6. Step 6: Final answer
    x = 9,430.22

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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.