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Finding the Fourth Proportional to 11,774.10, 17,646.80 and 6,508.90

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Solution

The fourth proportional to 11,774.10, 17,646.80 and 6,508.90 is: 9,755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.10 : 17,646.80 = 6,508.90 : x
  2. Step 2: Convert to fraction form
    11,774.10/17,646.80 = 6,508.90/x
  3. Step 3: Cross multiply
    11,774.10x = 17,646.80 × 6,508.90
  4. Step 4: Simplify right side
    11,774.10x = 114,861,256.52
  5. Step 5: Solve for x
    x = 114,861,256.52/11,774.10
  6. Step 6: Final answer
    x = 9,755.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.