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Finding the Fourth Proportional to 8,655.72, 11,946 and 5,674.08

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Solution

The fourth proportional to 8,655.72, 11,946 and 5,674.08 is: 7,830.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,655.72 : 11,946 = 5,674.08 : x
  2. Step 2: Convert to fraction form
    8,655.72/11,946 = 5,674.08/x
  3. Step 3: Cross multiply
    8,655.72x = 11,946 × 5,674.08
  4. Step 4: Simplify right side
    8,655.72x = 67,782,559.68
  5. Step 5: Solve for x
    x = 67,782,559.68/8,655.72
  6. Step 6: Final answer
    x = 7,830.96

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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.