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Finding the Fourth Proportional to 11,657.40, 16,087.32 and 6,352.32

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Solution

The fourth proportional to 11,657.40, 16,087.32 and 6,352.32 is: 8,766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.40 : 16,087.32 = 6,352.32 : x
  2. Step 2: Convert to fraction form
    11,657.40/16,087.32 = 6,352.32/x
  3. Step 3: Cross multiply
    11,657.40x = 16,087.32 × 6,352.32
  4. Step 4: Simplify right side
    11,657.40x = 102,191,804.58
  5. Step 5: Solve for x
    x = 102,191,804.58/11,657.40
  6. Step 6: Final answer
    x = 8,766.26

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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.