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Finding the Fourth Proportional to 11,374.65, 17,064.27 and 4,800.83

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Solution

The fourth proportional to 11,374.65, 17,064.27 and 4,800.83 is: 7,202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.65 : 17,064.27 = 4,800.83 : x
  2. Step 2: Convert to fraction form
    11,374.65/17,064.27 = 4,800.83/x
  3. Step 3: Cross multiply
    11,374.65x = 17,064.27 × 4,800.83
  4. Step 4: Simplify right side
    11,374.65x = 81,922,574.02
  5. Step 5: Solve for x
    x = 81,922,574.02/11,374.65
  6. Step 6: Final answer
    x = 7,202.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.