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Finding the Fourth Proportional to 11,046.42, 16,545.33 and 7,138.98

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Solution

The fourth proportional to 11,046.42, 16,545.33 and 7,138.98 is: 10,692.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,046.42 : 16,545.33 = 7,138.98 : x
  2. Step 2: Convert to fraction form
    11,046.42/16,545.33 = 7,138.98/x
  3. Step 3: Cross multiply
    11,046.42x = 16,545.33 × 7,138.98
  4. Step 4: Simplify right side
    11,046.42x = 118,116,779.96
  5. Step 5: Solve for x
    x = 118,116,779.96/11,046.42
  6. Step 6: Final answer
    x = 10,692.77

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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.