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Finding the Fourth Proportional to 10,537.98, 14,540.31 and 6,346.50

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Solution

The fourth proportional to 10,537.98, 14,540.31 and 6,346.50 is: 8,756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.98 : 14,540.31 = 6,346.50 : x
  2. Step 2: Convert to fraction form
    10,537.98/14,540.31 = 6,346.50/x
  3. Step 3: Cross multiply
    10,537.98x = 14,540.31 × 6,346.50
  4. Step 4: Simplify right side
    10,537.98x = 92,280,077.42
  5. Step 5: Solve for x
    x = 92,280,077.42/10,537.98
  6. Step 6: Final answer
    x = 8,756.90

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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.