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Finding the Fourth Proportional to 11,029.92, 15,223.68 and 6,784.59

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Solution

The fourth proportional to 11,029.92, 15,223.68 and 6,784.59 is: 9,364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,029.92 : 15,223.68 = 6,784.59 : x
  2. Step 2: Convert to fraction form
    11,029.92/15,223.68 = 6,784.59/x
  3. Step 3: Cross multiply
    11,029.92x = 15,223.68 × 6,784.59
  4. Step 4: Simplify right side
    11,029.92x = 103,286,427.09
  5. Step 5: Solve for x
    x = 103,286,427.09/11,029.92
  6. Step 6: Final answer
    x = 9,364.20

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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.