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Finding the Fourth Proportional to 7,762.26, 10,711.58 and 4,225.47

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Solution

The fourth proportional to 7,762.26, 10,711.58 and 4,225.47 is: 5,830.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.26 : 10,711.58 = 4,225.47 : x
  2. Step 2: Convert to fraction form
    7,762.26/10,711.58 = 4,225.47/x
  3. Step 3: Cross multiply
    7,762.26x = 10,711.58 × 4,225.47
  4. Step 4: Simplify right side
    7,762.26x = 45,261,398.65
  5. Step 5: Solve for x
    x = 45,261,398.65/7,762.26
  6. Step 6: Final answer
    x = 5,830.95

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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.