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Finding the Fourth Proportional to 10,058.32, 13,880.84 and 6,078.66

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Solution

The fourth proportional to 10,058.32, 13,880.84 and 6,078.66 is: 8,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.32 : 13,880.84 = 6,078.66 : x
  2. Step 2: Convert to fraction form
    10,058.32/13,880.84 = 6,078.66/x
  3. Step 3: Cross multiply
    10,058.32x = 13,880.84 × 6,078.66
  4. Step 4: Simplify right side
    10,058.32x = 84,376,906.87
  5. Step 5: Solve for x
    x = 84,376,906.87/10,058.32
  6. Step 6: Final answer
    x = 8,388.77

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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.