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Finding the Fourth Proportional to 10,356.37, 14,293.65 and 6,107.18

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Solution

The fourth proportional to 10,356.37, 14,293.65 and 6,107.18 is: 8,428.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.37 : 14,293.65 = 6,107.18 : x
  2. Step 2: Convert to fraction form
    10,356.37/14,293.65 = 6,107.18/x
  3. Step 3: Cross multiply
    10,356.37x = 14,293.65 × 6,107.18
  4. Step 4: Simplify right side
    10,356.37x = 87,293,799.04
  5. Step 5: Solve for x
    x = 87,293,799.04/10,356.37
  6. Step 6: Final answer
    x = 8,428.99

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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.