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Finding the Fourth Proportional to 10,058.07, 15,110.82 and 9,498.60

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Solution

The fourth proportional to 10,058.07, 15,110.82 and 9,498.60 is: 14,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.07 : 15,110.82 = 9,498.60 : x
  2. Step 2: Convert to fraction form
    10,058.07/15,110.82 = 9,498.60/x
  3. Step 3: Cross multiply
    10,058.07x = 15,110.82 × 9,498.60
  4. Step 4: Simplify right side
    10,058.07x = 143,531,634.85
  5. Step 5: Solve for x
    x = 143,531,634.85/10,058.07
  6. Step 6: Final answer
    x = 14,270.30

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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.