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Finding the Fourth Proportional to 7,188.48, 10,780.64 and 2,507.84

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Solution

The fourth proportional to 7,188.48, 10,780.64 and 2,507.84 is: 3,761.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.48 : 10,780.64 = 2,507.84 : x
  2. Step 2: Convert to fraction form
    7,188.48/10,780.64 = 2,507.84/x
  3. Step 3: Cross multiply
    7,188.48x = 10,780.64 × 2,507.84
  4. Step 4: Simplify right side
    7,188.48x = 27,036,120.22
  5. Step 5: Solve for x
    x = 27,036,120.22/7,188.48
  6. Step 6: Final answer
    x = 3,761.03

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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.