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Finding the Fourth Proportional to 7,459.16, 11,188.71 and 2,780.33

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Solution

The fourth proportional to 7,459.16, 11,188.71 and 2,780.33 is: 4,170.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.16 : 11,188.71 = 2,780.33 : x
  2. Step 2: Convert to fraction form
    7,459.16/11,188.71 = 2,780.33/x
  3. Step 3: Cross multiply
    7,459.16x = 11,188.71 × 2,780.33
  4. Step 4: Simplify right side
    7,459.16x = 31,108,250.13
  5. Step 5: Solve for x
    x = 31,108,250.13/7,459.16
  6. Step 6: Final answer
    x = 4,170.48

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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.