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Finding the Fourth Proportional to 10,454.99, 14,426.03 and 5,917.65

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Solution

The fourth proportional to 10,454.99, 14,426.03 and 5,917.65 is: 8,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.99 : 14,426.03 = 5,917.65 : x
  2. Step 2: Convert to fraction form
    10,454.99/14,426.03 = 5,917.65/x
  3. Step 3: Cross multiply
    10,454.99x = 14,426.03 × 5,917.65
  4. Step 4: Simplify right side
    10,454.99x = 85,368,250.24
  5. Step 5: Solve for x
    x = 85,368,250.24/10,454.99
  6. Step 6: Final answer
    x = 8,165.31

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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.