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Finding the Fourth Proportional to 11,496.52, 15,863.70 and 6,779.80

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Solution

The fourth proportional to 11,496.52, 15,863.70 and 6,779.80 is: 9,355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.52 : 15,863.70 = 6,779.80 : x
  2. Step 2: Convert to fraction form
    11,496.52/15,863.70 = 6,779.80/x
  3. Step 3: Cross multiply
    11,496.52x = 15,863.70 × 6,779.80
  4. Step 4: Simplify right side
    11,496.52x = 107,552,713.26
  5. Step 5: Solve for x
    x = 107,552,713.26/11,496.52
  6. Step 6: Final answer
    x = 9,355.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.