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Finding the Fourth Proportional to 11,543.66, 17,317.16 and 3,643.50

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Solution

The fourth proportional to 11,543.66, 17,317.16 and 3,643.50 is: 5,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.66 : 17,317.16 = 3,643.50 : x
  2. Step 2: Convert to fraction form
    11,543.66/17,317.16 = 3,643.50/x
  3. Step 3: Cross multiply
    11,543.66x = 17,317.16 × 3,643.50
  4. Step 4: Simplify right side
    11,543.66x = 63,095,072.46
  5. Step 5: Solve for x
    x = 63,095,072.46/11,543.66
  6. Step 6: Final answer
    x = 5,465.78

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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.