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Finding the Fourth Proportional to 11,848.75, 16,350.93 and 6,543.17

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Solution

The fourth proportional to 11,848.75, 16,350.93 and 6,543.17 is: 9,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.75 : 16,350.93 = 6,543.17 : x
  2. Step 2: Convert to fraction form
    11,848.75/16,350.93 = 6,543.17/x
  3. Step 3: Cross multiply
    11,848.75x = 16,350.93 × 6,543.17
  4. Step 4: Simplify right side
    11,848.75x = 106,986,914.65
  5. Step 5: Solve for x
    x = 106,986,914.65/11,848.75
  6. Step 6: Final answer
    x = 9,029.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.