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Finding the Fourth Proportional to 7,657.93, 11,486.08 and 3,496.69

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Solution

The fourth proportional to 7,657.93, 11,486.08 and 3,496.69 is: 5,244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.93 : 11,486.08 = 3,496.69 : x
  2. Step 2: Convert to fraction form
    7,657.93/11,486.08 = 3,496.69/x
  3. Step 3: Cross multiply
    7,657.93x = 11,486.08 × 3,496.69
  4. Step 4: Simplify right side
    7,657.93x = 40,163,261.08
  5. Step 5: Solve for x
    x = 40,163,261.08/7,657.93
  6. Step 6: Final answer
    x = 5,244.66

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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.