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Finding the Fourth Proportional to 10,529.56, 14,524.50 and 6,337

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Solution

The fourth proportional to 10,529.56, 14,524.50 and 6,337 is: 8,741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.56 : 14,524.50 = 6,337 : x
  2. Step 2: Convert to fraction form
    10,529.56/14,524.50 = 6,337/x
  3. Step 3: Cross multiply
    10,529.56x = 14,524.50 × 6,337
  4. Step 4: Simplify right side
    10,529.56x = 92,041,756.50
  5. Step 5: Solve for x
    x = 92,041,756.50/10,529.56
  6. Step 6: Final answer
    x = 8,741.27

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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.