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Finding the Fourth Proportional to 7,576.56, 10,456.47 and 4,219.65

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Solution

The fourth proportional to 7,576.56, 10,456.47 and 4,219.65 is: 5,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576.56 : 10,456.47 = 4,219.65 : x
  2. Step 2: Convert to fraction form
    7,576.56/10,456.47 = 4,219.65/x
  3. Step 3: Cross multiply
    7,576.56x = 10,456.47 × 4,219.65
  4. Step 4: Simplify right side
    7,576.56x = 44,122,643.64
  5. Step 5: Solve for x
    x = 44,122,643.64/7,576.56
  6. Step 6: Final answer
    x = 5,823.57

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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.