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Finding the Fourth Proportional to 10,058.58, 15,083.01 and 4,213.62

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Solution

The fourth proportional to 10,058.58, 15,083.01 and 4,213.62 is: 6,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.58 : 15,083.01 = 4,213.62 : x
  2. Step 2: Convert to fraction form
    10,058.58/15,083.01 = 4,213.62/x
  3. Step 3: Cross multiply
    10,058.58x = 15,083.01 × 4,213.62
  4. Step 4: Simplify right side
    10,058.58x = 63,554,072.60
  5. Step 5: Solve for x
    x = 63,554,072.60/10,058.58
  6. Step 6: Final answer
    x = 6,318.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.