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Finding the Fourth Proportional to 7,415.84, 10,233.05 and 4,431.26

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Solution

The fourth proportional to 7,415.84, 10,233.05 and 4,431.26 is: 6,114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.84 : 10,233.05 = 4,431.26 : x
  2. Step 2: Convert to fraction form
    7,415.84/10,233.05 = 4,431.26/x
  3. Step 3: Cross multiply
    7,415.84x = 10,233.05 × 4,431.26
  4. Step 4: Simplify right side
    7,415.84x = 45,345,231.82
  5. Step 5: Solve for x
    x = 45,345,231.82/7,415.84
  6. Step 6: Final answer
    x = 6,114.65

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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.