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Finding the Fourth Proportional to 10,524.67, 14,520.32 and 6,749.87

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Solution

The fourth proportional to 10,524.67, 14,520.32 and 6,749.87 is: 9,312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.67 : 14,520.32 = 6,749.87 : x
  2. Step 2: Convert to fraction form
    10,524.67/14,520.32 = 6,749.87/x
  3. Step 3: Cross multiply
    10,524.67x = 14,520.32 × 6,749.87
  4. Step 4: Simplify right side
    10,524.67x = 98,010,272.36
  5. Step 5: Solve for x
    x = 98,010,272.36/10,524.67
  6. Step 6: Final answer
    x = 9,312.43

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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.