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Finding the Fourth Proportional to 10,038.21, 15,058.95 and 3,466.27

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Solution

The fourth proportional to 10,038.21, 15,058.95 and 3,466.27 is: 5,199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.21 : 15,058.95 = 3,466.27 : x
  2. Step 2: Convert to fraction form
    10,038.21/15,058.95 = 3,466.27/x
  3. Step 3: Cross multiply
    10,038.21x = 15,058.95 × 3,466.27
  4. Step 4: Simplify right side
    10,038.21x = 52,198,386.62
  5. Step 5: Solve for x
    x = 52,198,386.62/10,038.21
  6. Step 6: Final answer
    x = 5,199.97

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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.