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Finding the Fourth Proportional to 10,396.31, 14,346.89 and 5,920.07

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Solution

The fourth proportional to 10,396.31, 14,346.89 and 5,920.07 is: 8,169.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.31 : 14,346.89 = 5,920.07 : x
  2. Step 2: Convert to fraction form
    10,396.31/14,346.89 = 5,920.07/x
  3. Step 3: Cross multiply
    10,396.31x = 14,346.89 × 5,920.07
  4. Step 4: Simplify right side
    10,396.31x = 84,934,547.25
  5. Step 5: Solve for x
    x = 84,934,547.25/10,396.31
  6. Step 6: Final answer
    x = 8,169.68

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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.