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Finding the Fourth Proportional to 7,584.65, 10,467.14 and 4,227.47

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Solution

The fourth proportional to 7,584.65, 10,467.14 and 4,227.47 is: 5,834.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.65 : 10,467.14 = 4,227.47 : x
  2. Step 2: Convert to fraction form
    7,584.65/10,467.14 = 4,227.47/x
  3. Step 3: Cross multiply
    7,584.65x = 10,467.14 × 4,227.47
  4. Step 4: Simplify right side
    7,584.65x = 44,249,478.57
  5. Step 5: Solve for x
    x = 44,249,478.57/7,584.65
  6. Step 6: Final answer
    x = 5,834.08

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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.