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Finding the Fourth Proportional to 7,586.08, 11,384.25 and 2,655.76

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Solution

The fourth proportional to 7,586.08, 11,384.25 and 2,655.76 is: 3,985.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.08 : 11,384.25 = 2,655.76 : x
  2. Step 2: Convert to fraction form
    7,586.08/11,384.25 = 2,655.76/x
  3. Step 3: Cross multiply
    7,586.08x = 11,384.25 × 2,655.76
  4. Step 4: Simplify right side
    7,586.08x = 30,233,850.72
  5. Step 5: Solve for x
    x = 30,233,850.72/7,586.08
  6. Step 6: Final answer
    x = 3,985.44

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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.