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Finding the Fourth Proportional to 10,370.58, 14,305.14 and 6,335.57

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Solution

The fourth proportional to 10,370.58, 14,305.14 and 6,335.57 is: 8,739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370.58 : 14,305.14 = 6,335.57 : x
  2. Step 2: Convert to fraction form
    10,370.58/14,305.14 = 6,335.57/x
  3. Step 3: Cross multiply
    10,370.58x = 14,305.14 × 6,335.57
  4. Step 4: Simplify right side
    10,370.58x = 90,631,144.30
  5. Step 5: Solve for x
    x = 90,631,144.30/10,370.58
  6. Step 6: Final answer
    x = 8,739.26

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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.