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Finding the Fourth Proportional to 7,527.42, 11,277.74 and 6,420.54

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Solution

The fourth proportional to 7,527.42, 11,277.74 and 6,420.54 is: 9,619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.42 : 11,277.74 = 6,420.54 : x
  2. Step 2: Convert to fraction form
    7,527.42/11,277.74 = 6,420.54/x
  3. Step 3: Cross multiply
    7,527.42x = 11,277.74 × 6,420.54
  4. Step 4: Simplify right side
    7,527.42x = 72,409,180.78
  5. Step 5: Solve for x
    x = 72,409,180.78/7,527.42
  6. Step 6: Final answer
    x = 9,619.39

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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.