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Finding the Fourth Proportional to 7,656.24, 11,485.29 and 5,684.31

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Solution

The fourth proportional to 7,656.24, 11,485.29 and 5,684.31 is: 8,527.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.24 : 11,485.29 = 5,684.31 : x
  2. Step 2: Convert to fraction form
    7,656.24/11,485.29 = 5,684.31/x
  3. Step 3: Cross multiply
    7,656.24x = 11,485.29 × 5,684.31
  4. Step 4: Simplify right side
    7,656.24x = 65,285,948.80
  5. Step 5: Solve for x
    x = 65,285,948.80/7,656.24
  6. Step 6: Final answer
    x = 8,527.16

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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.