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Finding the Fourth Proportional to 10,058.13, 13,879.17 and 5,581.76

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Solution

The fourth proportional to 10,058.13, 13,879.17 and 5,581.76 is: 7,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.13 : 13,879.17 = 5,581.76 : x
  2. Step 2: Convert to fraction form
    10,058.13/13,879.17 = 5,581.76/x
  3. Step 3: Cross multiply
    10,058.13x = 13,879.17 × 5,581.76
  4. Step 4: Simplify right side
    10,058.13x = 77,470,126.54
  5. Step 5: Solve for x
    x = 77,470,126.54/10,058.13
  6. Step 6: Final answer
    x = 7,702.24

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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.