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Finding the Fourth Proportional to 10,467.62, 15,709.63 and 4,628.33

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Solution

The fourth proportional to 10,467.62, 15,709.63 and 4,628.33 is: 6,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.62 : 15,709.63 = 4,628.33 : x
  2. Step 2: Convert to fraction form
    10,467.62/15,709.63 = 4,628.33/x
  3. Step 3: Cross multiply
    10,467.62x = 15,709.63 × 4,628.33
  4. Step 4: Simplify right side
    10,467.62x = 72,709,351.82
  5. Step 5: Solve for x
    x = 72,709,351.82/10,467.62
  6. Step 6: Final answer
    x = 6,946.12

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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.