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Finding the Fourth Proportional to 11,038.26, 16,557.39 and 7,765.98

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Solution

The fourth proportional to 11,038.26, 16,557.39 and 7,765.98 is: 11,648.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038.26 : 16,557.39 = 7,765.98 : x
  2. Step 2: Convert to fraction form
    11,038.26/16,557.39 = 7,765.98/x
  3. Step 3: Cross multiply
    11,038.26x = 16,557.39 × 7,765.98
  4. Step 4: Simplify right side
    11,038.26x = 128,584,359.59
  5. Step 5: Solve for x
    x = 128,584,359.59/11,038.26
  6. Step 6: Final answer
    x = 11,648.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.