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Finding the Fourth Proportional to 10,389.64, 14,337.12 and 5,914.48

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Solution

The fourth proportional to 10,389.64, 14,337.12 and 5,914.48 is: 8,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389.64 : 14,337.12 = 5,914.48 : x
  2. Step 2: Convert to fraction form
    10,389.64/14,337.12 = 5,914.48/x
  3. Step 3: Cross multiply
    10,389.64x = 14,337.12 × 5,914.48
  4. Step 4: Simplify right side
    10,389.64x = 84,796,609.50
  5. Step 5: Solve for x
    x = 84,796,609.50/10,389.64
  6. Step 6: Final answer
    x = 8,161.65

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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.