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Finding the Fourth Proportional to 10,391.08, 14,339.14 and 5,914.12

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Solution

The fourth proportional to 10,391.08, 14,339.14 and 5,914.12 is: 8,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.08 : 14,339.14 = 5,914.12 : x
  2. Step 2: Convert to fraction form
    10,391.08/14,339.14 = 5,914.12/x
  3. Step 3: Cross multiply
    10,391.08x = 14,339.14 × 5,914.12
  4. Step 4: Simplify right side
    10,391.08x = 84,803,394.66
  5. Step 5: Solve for x
    x = 84,803,394.66/10,391.08
  6. Step 6: Final answer
    x = 8,161.17

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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.