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Finding the Fourth Proportional to 10,174.84, 15,260.51 and 3,058.97

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Solution

The fourth proportional to 10,174.84, 15,260.51 and 3,058.97 is: 4,587.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.84 : 15,260.51 = 3,058.97 : x
  2. Step 2: Convert to fraction form
    10,174.84/15,260.51 = 3,058.97/x
  3. Step 3: Cross multiply
    10,174.84x = 15,260.51 × 3,058.97
  4. Step 4: Simplify right side
    10,174.84x = 46,681,442.27
  5. Step 5: Solve for x
    x = 46,681,442.27/10,174.84
  6. Step 6: Final answer
    x = 4,587.93

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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.