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Finding the Fourth Proportional to 11,058.36, 15,257.44 and 7,697.40

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Solution

The fourth proportional to 11,058.36, 15,257.44 and 7,697.40 is: 10,620.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,058.36 : 15,257.44 = 7,697.40 : x
  2. Step 2: Convert to fraction form
    11,058.36/15,257.44 = 7,697.40/x
  3. Step 3: Cross multiply
    11,058.36x = 15,257.44 × 7,697.40
  4. Step 4: Simplify right side
    11,058.36x = 117,442,618.66
  5. Step 5: Solve for x
    x = 117,442,618.66/11,058.36
  6. Step 6: Final answer
    x = 10,620.26

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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.