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Finding the Fourth Proportional to 7,649.66, 11,471.47 and 4,536.02

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Solution

The fourth proportional to 7,649.66, 11,471.47 and 4,536.02 is: 6,802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.66 : 11,471.47 = 4,536.02 : x
  2. Step 2: Convert to fraction form
    7,649.66/11,471.47 = 4,536.02/x
  3. Step 3: Cross multiply
    7,649.66x = 11,471.47 × 4,536.02
  4. Step 4: Simplify right side
    7,649.66x = 52,034,817.35
  5. Step 5: Solve for x
    x = 52,034,817.35/7,649.66
  6. Step 6: Final answer
    x = 6,802.24

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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.