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Finding the Fourth Proportional to 10,058.40, 13,881.84 and 5,866.64

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Solution

The fourth proportional to 10,058.40, 13,881.84 and 5,866.64 is: 8,096.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.40 : 13,881.84 = 5,866.64 : x
  2. Step 2: Convert to fraction form
    10,058.40/13,881.84 = 5,866.64/x
  3. Step 3: Cross multiply
    10,058.40x = 13,881.84 × 5,866.64
  4. Step 4: Simplify right side
    10,058.40x = 81,439,757.82
  5. Step 5: Solve for x
    x = 81,439,757.82/10,058.40
  6. Step 6: Final answer
    x = 8,096.69

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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.