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Finding the Fourth Proportional to 11,643.76, 17,465.16 and 2,878.46

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Solution

The fourth proportional to 11,643.76, 17,465.16 and 2,878.46 is: 4,317.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.76 : 17,465.16 = 2,878.46 : x
  2. Step 2: Convert to fraction form
    11,643.76/17,465.16 = 2,878.46/x
  3. Step 3: Cross multiply
    11,643.76x = 17,465.16 × 2,878.46
  4. Step 4: Simplify right side
    11,643.76x = 50,272,764.45
  5. Step 5: Solve for x
    x = 50,272,764.45/11,643.76
  6. Step 6: Final answer
    x = 4,317.57

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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.