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Finding the Fourth Proportional to 11,646.53, 16,071.72 and 6,341.39

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Solution

The fourth proportional to 11,646.53, 16,071.72 and 6,341.39 is: 8,750.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.53 : 16,071.72 = 6,341.39 : x
  2. Step 2: Convert to fraction form
    11,646.53/16,071.72 = 6,341.39/x
  3. Step 3: Cross multiply
    11,646.53x = 16,071.72 × 6,341.39
  4. Step 4: Simplify right side
    11,646.53x = 101,917,000.62
  5. Step 5: Solve for x
    x = 101,917,000.62/11,646.53
  6. Step 6: Final answer
    x = 8,750.84

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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.