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Finding the Fourth Proportional to 10,968.08, 16,447.80 and 6,354.32

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Solution

The fourth proportional to 10,968.08, 16,447.80 and 6,354.32 is: 9,528.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968.08 : 16,447.80 = 6,354.32 : x
  2. Step 2: Convert to fraction form
    10,968.08/16,447.80 = 6,354.32/x
  3. Step 3: Cross multiply
    10,968.08x = 16,447.80 × 6,354.32
  4. Step 4: Simplify right side
    10,968.08x = 104,514,584.50
  5. Step 5: Solve for x
    x = 104,514,584.50/10,968.08
  6. Step 6: Final answer
    x = 9,528.98

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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.