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Finding the Fourth Proportional to 10,058.09, 13,878.05 and 6,078.42

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Solution

The fourth proportional to 10,058.09, 13,878.05 and 6,078.42 is: 8,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.09 : 13,878.05 = 6,078.42 : x
  2. Step 2: Convert to fraction form
    10,058.09/13,878.05 = 6,078.42/x
  3. Step 3: Cross multiply
    10,058.09x = 13,878.05 × 6,078.42
  4. Step 4: Simplify right side
    10,058.09x = 84,356,586.29
  5. Step 5: Solve for x
    x = 84,356,586.29/10,058.09
  6. Step 6: Final answer
    x = 8,386.94

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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.