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Finding the Fourth Proportional to 10,058.35, 13,879.11 and 6,024.24

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Solution

The fourth proportional to 10,058.35, 13,879.11 and 6,024.24 is: 8,312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.35 : 13,879.11 = 6,024.24 : x
  2. Step 2: Convert to fraction form
    10,058.35/13,879.11 = 6,024.24/x
  3. Step 3: Cross multiply
    10,058.35x = 13,879.11 × 6,024.24
  4. Step 4: Simplify right side
    10,058.35x = 83,611,023.48
  5. Step 5: Solve for x
    x = 83,611,023.48/10,058.35
  6. Step 6: Final answer
    x = 8,312.60

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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.