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Finding the Fourth Proportional to 7,459, 11,188.54 and 1,987

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Solution

The fourth proportional to 7,459, 11,188.54 and 1,987 is: 2,980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459 : 11,188.54 = 1,987 : x
  2. Step 2: Convert to fraction form
    7,459/11,188.54 = 1,987/x
  3. Step 3: Cross multiply
    7,459x = 11,188.54 × 1,987
  4. Step 4: Simplify right side
    7,459x = 22,231,628.98
  5. Step 5: Solve for x
    x = 22,231,628.98/7,459
  6. Step 6: Final answer
    x = 2,980.51

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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.