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Finding the Fourth Proportional to 10,466.26, 15,674.78 and 4,907.63

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Solution

The fourth proportional to 10,466.26, 15,674.78 and 4,907.63 is: 7,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.26 : 15,674.78 = 4,907.63 : x
  2. Step 2: Convert to fraction form
    10,466.26/15,674.78 = 4,907.63/x
  3. Step 3: Cross multiply
    10,466.26x = 15,674.78 × 4,907.63
  4. Step 4: Simplify right side
    10,466.26x = 76,926,020.57
  5. Step 5: Solve for x
    x = 76,926,020.57/10,466.26
  6. Step 6: Final answer
    x = 7,349.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.