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Finding the Fourth Proportional to 7,747.25, 11,663.03 and 7,058.35

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Solution

The fourth proportional to 7,747.25, 11,663.03 and 7,058.35 is: 10,625.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.25 : 11,663.03 = 7,058.35 : x
  2. Step 2: Convert to fraction form
    7,747.25/11,663.03 = 7,058.35/x
  3. Step 3: Cross multiply
    7,747.25x = 11,663.03 × 7,058.35
  4. Step 4: Simplify right side
    7,747.25x = 82,321,689.49
  5. Step 5: Solve for x
    x = 82,321,689.49/7,747.25
  6. Step 6: Final answer
    x = 10,625.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.