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Finding the Fourth Proportional to 7,538.55, 11,304.93 and 3,586.76

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Solution

The fourth proportional to 7,538.55, 11,304.93 and 3,586.76 is: 5,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.55 : 11,304.93 = 3,586.76 : x
  2. Step 2: Convert to fraction form
    7,538.55/11,304.93 = 3,586.76/x
  3. Step 3: Cross multiply
    7,538.55x = 11,304.93 × 3,586.76
  4. Step 4: Simplify right side
    7,538.55x = 40,548,070.73
  5. Step 5: Solve for x
    x = 40,548,070.73/7,538.55
  6. Step 6: Final answer
    x = 5,378.76

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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.