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Finding the Fourth Proportional to 10,330.35, 14,256.06 and 5,853.99

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Solution

The fourth proportional to 10,330.35, 14,256.06 and 5,853.99 is: 8,078.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330.35 : 14,256.06 = 5,853.99 : x
  2. Step 2: Convert to fraction form
    10,330.35/14,256.06 = 5,853.99/x
  3. Step 3: Cross multiply
    10,330.35x = 14,256.06 × 5,853.99
  4. Step 4: Simplify right side
    10,330.35x = 83,454,832.68
  5. Step 5: Solve for x
    x = 83,454,832.68/10,330.35
  6. Step 6: Final answer
    x = 8,078.61

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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.