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Finding the Fourth Proportional to 10,356.50, 14,293.82 and 6,107.30

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Solution

The fourth proportional to 10,356.50, 14,293.82 and 6,107.30 is: 8,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.50 : 14,293.82 = 6,107.30 : x
  2. Step 2: Convert to fraction form
    10,356.50/14,293.82 = 6,107.30/x
  3. Step 3: Cross multiply
    10,356.50x = 14,293.82 × 6,107.30
  4. Step 4: Simplify right side
    10,356.50x = 87,296,616.35
  5. Step 5: Solve for x
    x = 87,296,616.35/10,356.50
  6. Step 6: Final answer
    x = 8,429.17

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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.