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Finding the Fourth Proportional to 7,649.04, 11,477.74 and 2,969.23

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Solution

The fourth proportional to 7,649.04, 11,477.74 and 2,969.23 is: 4,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.04 : 11,477.74 = 2,969.23 : x
  2. Step 2: Convert to fraction form
    7,649.04/11,477.74 = 2,969.23/x
  3. Step 3: Cross multiply
    7,649.04x = 11,477.74 × 2,969.23
  4. Step 4: Simplify right side
    7,649.04x = 34,080,049.94
  5. Step 5: Solve for x
    x = 34,080,049.94/7,649.04
  6. Step 6: Final answer
    x = 4,455.47

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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.