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Finding the Fourth Proportional to 10,701.02, 16,058.46 and 5,774.06

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Solution

The fourth proportional to 10,701.02, 16,058.46 and 5,774.06 is: 8,664.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.02 : 16,058.46 = 5,774.06 : x
  2. Step 2: Convert to fraction form
    10,701.02/16,058.46 = 5,774.06/x
  3. Step 3: Cross multiply
    10,701.02x = 16,058.46 × 5,774.06
  4. Step 4: Simplify right side
    10,701.02x = 92,722,511.55
  5. Step 5: Solve for x
    x = 92,722,511.55/10,701.02
  6. Step 6: Final answer
    x = 8,664.83

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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.