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Finding the Fourth Proportional to 10,842.15, 16,247.62 and 6,389.31

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Solution

The fourth proportional to 10,842.15, 16,247.62 and 6,389.31 is: 9,574.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.15 : 16,247.62 = 6,389.31 : x
  2. Step 2: Convert to fraction form
    10,842.15/16,247.62 = 6,389.31/x
  3. Step 3: Cross multiply
    10,842.15x = 16,247.62 × 6,389.31
  4. Step 4: Simplify right side
    10,842.15x = 103,811,080.94
  5. Step 5: Solve for x
    x = 103,811,080.94/10,842.15
  6. Step 6: Final answer
    x = 9,574.77

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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.