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Finding the Fourth Proportional to 7,415.22, 10,230.54 and 4,431.60

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Solution

The fourth proportional to 7,415.22, 10,230.54 and 4,431.60 is: 6,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.22 : 10,230.54 = 4,431.60 : x
  2. Step 2: Convert to fraction form
    7,415.22/10,230.54 = 4,431.60/x
  3. Step 3: Cross multiply
    7,415.22x = 10,230.54 × 4,431.60
  4. Step 4: Simplify right side
    7,415.22x = 45,337,661.06
  5. Step 5: Solve for x
    x = 45,337,661.06/7,415.22
  6. Step 6: Final answer
    x = 6,114.14

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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.