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Finding the Fourth Proportional to 10,435.30, 14,400.99 and 6,186.31

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Solution

The fourth proportional to 10,435.30, 14,400.99 and 6,186.31 is: 8,537.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.30 : 14,400.99 = 6,186.31 : x
  2. Step 2: Convert to fraction form
    10,435.30/14,400.99 = 6,186.31/x
  3. Step 3: Cross multiply
    10,435.30x = 14,400.99 × 6,186.31
  4. Step 4: Simplify right side
    10,435.30x = 89,088,952.44
  5. Step 5: Solve for x
    x = 89,088,952.44/10,435.30
  6. Step 6: Final answer
    x = 8,537.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.