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Finding the Fourth Proportional to 11,646.90, 16,072.74 and 6,341.58

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Solution

The fourth proportional to 11,646.90, 16,072.74 and 6,341.58 is: 8,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.90 : 16,072.74 = 6,341.58 : x
  2. Step 2: Convert to fraction form
    11,646.90/16,072.74 = 6,341.58/x
  3. Step 3: Cross multiply
    11,646.90x = 16,072.74 × 6,341.58
  4. Step 4: Simplify right side
    11,646.90x = 101,926,566.53
  5. Step 5: Solve for x
    x = 101,926,566.53/11,646.90
  6. Step 6: Final answer
    x = 8,751.39

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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.