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Finding the Fourth Proportional to 7,752.24, 10,698.09 and 4,215.42

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Solution

The fourth proportional to 7,752.24, 10,698.09 and 4,215.42 is: 5,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.24 : 10,698.09 = 4,215.42 : x
  2. Step 2: Convert to fraction form
    7,752.24/10,698.09 = 4,215.42/x
  3. Step 3: Cross multiply
    7,752.24x = 10,698.09 × 4,215.42
  4. Step 4: Simplify right side
    7,752.24x = 45,096,942.55
  5. Step 5: Solve for x
    x = 45,096,942.55/7,752.24
  6. Step 6: Final answer
    x = 5,817.28

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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.