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Finding the Fourth Proportional to 10,695.72, 16,035.38 and 6,537.70

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Solution

The fourth proportional to 10,695.72, 16,035.38 and 6,537.70 is: 9,801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.72 : 16,035.38 = 6,537.70 : x
  2. Step 2: Convert to fraction form
    10,695.72/16,035.38 = 6,537.70/x
  3. Step 3: Cross multiply
    10,695.72x = 16,035.38 × 6,537.70
  4. Step 4: Simplify right side
    10,695.72x = 104,834,503.83
  5. Step 5: Solve for x
    x = 104,834,503.83/10,695.72
  6. Step 6: Final answer
    x = 9,801.54

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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.