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Finding the Fourth Proportional to 7,656.68, 11,485.08 and 4,192.04

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Solution

The fourth proportional to 7,656.68, 11,485.08 and 4,192.04 is: 6,288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.68 : 11,485.08 = 4,192.04 : x
  2. Step 2: Convert to fraction form
    7,656.68/11,485.08 = 4,192.04/x
  3. Step 3: Cross multiply
    7,656.68x = 11,485.08 × 4,192.04
  4. Step 4: Simplify right side
    7,656.68x = 48,145,914.76
  5. Step 5: Solve for x
    x = 48,145,914.76/7,656.68
  6. Step 6: Final answer
    x = 6,288.09

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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.