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Finding the Fourth Proportional to 10,472.72, 14,438.94 and 8,577.32

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Solution

The fourth proportional to 10,472.72, 14,438.94 and 8,577.32 is: 11,825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.72 : 14,438.94 = 8,577.32 : x
  2. Step 2: Convert to fraction form
    10,472.72/14,438.94 = 8,577.32/x
  3. Step 3: Cross multiply
    10,472.72x = 14,438.94 × 8,577.32
  4. Step 4: Simplify right side
    10,472.72x = 123,847,408.84
  5. Step 5: Solve for x
    x = 123,847,408.84/10,472.72
  6. Step 6: Final answer
    x = 11,825.72

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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.