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Finding the Fourth Proportional to 7,973.40, 11,954.14 and 5,501.16

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Solution

The fourth proportional to 7,973.40, 11,954.14 and 5,501.16 is: 8,247.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.40 : 11,954.14 = 5,501.16 : x
  2. Step 2: Convert to fraction form
    7,973.40/11,954.14 = 5,501.16/x
  3. Step 3: Cross multiply
    7,973.40x = 11,954.14 × 5,501.16
  4. Step 4: Simplify right side
    7,973.40x = 65,761,609.30
  5. Step 5: Solve for x
    x = 65,761,609.30/7,973.40
  6. Step 6: Final answer
    x = 8,247.63

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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.