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Finding the Fourth Proportional to 11,574.12, 17,363.58 and 4,649.16

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Solution

The fourth proportional to 11,574.12, 17,363.58 and 4,649.16 is: 6,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.12 : 17,363.58 = 4,649.16 : x
  2. Step 2: Convert to fraction form
    11,574.12/17,363.58 = 4,649.16/x
  3. Step 3: Cross multiply
    11,574.12x = 17,363.58 × 4,649.16
  4. Step 4: Simplify right side
    11,574.12x = 80,726,061.59
  5. Step 5: Solve for x
    x = 80,726,061.59/11,574.12
  6. Step 6: Final answer
    x = 6,974.70

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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.