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Finding the Fourth Proportional to 10,718.87, 16,051.37 and 6,499.85

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Solution

The fourth proportional to 10,718.87, 16,051.37 and 6,499.85 is: 9,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,718.87 : 16,051.37 = 6,499.85 : x
  2. Step 2: Convert to fraction form
    10,718.87/16,051.37 = 6,499.85/x
  3. Step 3: Cross multiply
    10,718.87x = 16,051.37 × 6,499.85
  4. Step 4: Simplify right side
    10,718.87x = 104,331,384.54
  5. Step 5: Solve for x
    x = 104,331,384.54/10,718.87
  6. Step 6: Final answer
    x = 9,733.44

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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.