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Finding the Fourth Proportional to 10,859.99, 16,294.66 and 4,201.16

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Solution

The fourth proportional to 10,859.99, 16,294.66 and 4,201.16 is: 6,303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.99 : 16,294.66 = 4,201.16 : x
  2. Step 2: Convert to fraction form
    10,859.99/16,294.66 = 4,201.16/x
  3. Step 3: Cross multiply
    10,859.99x = 16,294.66 × 4,201.16
  4. Step 4: Simplify right side
    10,859.99x = 68,456,495.19
  5. Step 5: Solve for x
    x = 68,456,495.19/10,859.99
  6. Step 6: Final answer
    x = 6,303.55

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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.