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Finding the Fourth Proportional to 8,338.17, 11,509.43 and 4,802.25

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Solution

The fourth proportional to 8,338.17, 11,509.43 and 4,802.25 is: 6,628.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.17 : 11,509.43 = 4,802.25 : x
  2. Step 2: Convert to fraction form
    8,338.17/11,509.43 = 4,802.25/x
  3. Step 3: Cross multiply
    8,338.17x = 11,509.43 × 4,802.25
  4. Step 4: Simplify right side
    8,338.17x = 55,271,136.21
  5. Step 5: Solve for x
    x = 55,271,136.21/8,338.17
  6. Step 6: Final answer
    x = 6,628.69

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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.