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Finding the Fourth Proportional to 7,415.78, 10,233.25 and 4,058.53

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Solution

The fourth proportional to 7,415.78, 10,233.25 and 4,058.53 is: 5,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.78 : 10,233.25 = 4,058.53 : x
  2. Step 2: Convert to fraction form
    7,415.78/10,233.25 = 4,058.53/x
  3. Step 3: Cross multiply
    7,415.78x = 10,233.25 × 4,058.53
  4. Step 4: Simplify right side
    7,415.78x = 41,531,916.39
  5. Step 5: Solve for x
    x = 41,531,916.39/7,415.78
  6. Step 6: Final answer
    x = 5,600.48

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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.