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Finding the Fourth Proportional to 10,725.37, 14,798.05 and 6,187.88

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Solution

The fourth proportional to 10,725.37, 14,798.05 and 6,187.88 is: 8,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.37 : 14,798.05 = 6,187.88 : x
  2. Step 2: Convert to fraction form
    10,725.37/14,798.05 = 6,187.88/x
  3. Step 3: Cross multiply
    10,725.37x = 14,798.05 × 6,187.88
  4. Step 4: Simplify right side
    10,725.37x = 91,568,579.16
  5. Step 5: Solve for x
    x = 91,568,579.16/10,725.37
  6. Step 6: Final answer
    x = 8,537.57

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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.