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Finding the Fourth Proportional to 7,321.06, 10,102.28 and 5,407.89

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Solution

The fourth proportional to 7,321.06, 10,102.28 and 5,407.89 is: 7,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.06 : 10,102.28 = 5,407.89 : x
  2. Step 2: Convert to fraction form
    7,321.06/10,102.28 = 5,407.89/x
  3. Step 3: Cross multiply
    7,321.06x = 10,102.28 × 5,407.89
  4. Step 4: Simplify right side
    7,321.06x = 54,632,018.99
  5. Step 5: Solve for x
    x = 54,632,018.99/7,321.06
  6. Step 6: Final answer
    x = 7,462.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.