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Finding the Fourth Proportional to 7,187.09, 10,780.68 and 2,507.08

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Solution

The fourth proportional to 7,187.09, 10,780.68 and 2,507.08 is: 3,760.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.09 : 10,780.68 = 2,507.08 : x
  2. Step 2: Convert to fraction form
    7,187.09/10,780.68 = 2,507.08/x
  3. Step 3: Cross multiply
    7,187.09x = 10,780.68 × 2,507.08
  4. Step 4: Simplify right side
    7,187.09x = 27,027,985.46
  5. Step 5: Solve for x
    x = 27,027,985.46/7,187.09
  6. Step 6: Final answer
    x = 3,760.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.