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Finding the Fourth Proportional to 7,656.04, 11,487.17 and 5,189.46

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Solution

The fourth proportional to 7,656.04, 11,487.17 and 5,189.46 is: 7,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.04 : 11,487.17 = 5,189.46 : x
  2. Step 2: Convert to fraction form
    7,656.04/11,487.17 = 5,189.46/x
  3. Step 3: Cross multiply
    7,656.04x = 11,487.17 × 5,189.46
  4. Step 4: Simplify right side
    7,656.04x = 59,612,209.23
  5. Step 5: Solve for x
    x = 59,612,209.23/7,656.04
  6. Step 6: Final answer
    x = 7,786.30

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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.