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Finding the Fourth Proportional to 10,058.10, 13,880.79 and 5,809.94

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Solution

The fourth proportional to 10,058.10, 13,880.79 and 5,809.94 is: 8,018.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.10 : 13,880.79 = 5,809.94 : x
  2. Step 2: Convert to fraction form
    10,058.10/13,880.79 = 5,809.94/x
  3. Step 3: Cross multiply
    10,058.10x = 13,880.79 × 5,809.94
  4. Step 4: Simplify right side
    10,058.10x = 80,646,487.65
  5. Step 5: Solve for x
    x = 80,646,487.65/10,058.10
  6. Step 6: Final answer
    x = 8,018.06

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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.