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Finding the Fourth Proportional to 10,522.56, 14,525.28 and 6,330

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Solution

The fourth proportional to 10,522.56, 14,525.28 and 6,330 is: 8,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.56 : 14,525.28 = 6,330 : x
  2. Step 2: Convert to fraction form
    10,522.56/14,525.28 = 6,330/x
  3. Step 3: Cross multiply
    10,522.56x = 14,525.28 × 6,330
  4. Step 4: Simplify right side
    10,522.56x = 91,945,022.40
  5. Step 5: Solve for x
    x = 91,945,022.40/10,522.56
  6. Step 6: Final answer
    x = 8,737.89

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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.