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Finding the Fourth Proportional to 10,833.35, 16,262.98 and 6,452.87

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Solution

The fourth proportional to 10,833.35, 16,262.98 and 6,452.87 is: 9,687.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.35 : 16,262.98 = 6,452.87 : x
  2. Step 2: Convert to fraction form
    10,833.35/16,262.98 = 6,452.87/x
  3. Step 3: Cross multiply
    10,833.35x = 16,262.98 × 6,452.87
  4. Step 4: Simplify right side
    10,833.35x = 104,942,798.31
  5. Step 5: Solve for x
    x = 104,942,798.31/10,833.35
  6. Step 6: Final answer
    x = 9,687.02

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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.