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Finding the Fourth Proportional to 10,294.30, 15,431.05 and 4,058.70

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Solution

The fourth proportional to 10,294.30, 15,431.05 and 4,058.70 is: 6,083.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.30 : 15,431.05 = 4,058.70 : x
  2. Step 2: Convert to fraction form
    10,294.30/15,431.05 = 4,058.70/x
  3. Step 3: Cross multiply
    10,294.30x = 15,431.05 × 4,058.70
  4. Step 4: Simplify right side
    10,294.30x = 62,630,002.64
  5. Step 5: Solve for x
    x = 62,630,002.64/10,294.30
  6. Step 6: Final answer
    x = 6,083.95

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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.