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Finding the Fourth Proportional to 11,647.88, 16,071.93 and 6,869.31

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Solution

The fourth proportional to 11,647.88, 16,071.93 and 6,869.31 is: 9,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.88 : 16,071.93 = 6,869.31 : x
  2. Step 2: Convert to fraction form
    11,647.88/16,071.93 = 6,869.31/x
  3. Step 3: Cross multiply
    11,647.88x = 16,071.93 × 6,869.31
  4. Step 4: Simplify right side
    11,647.88x = 110,403,069.47
  5. Step 5: Solve for x
    x = 110,403,069.47/11,647.88
  6. Step 6: Final answer
    x = 9,478.39

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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.