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Finding the Fourth Proportional to 7,527.34, 11,299.05 and 6,371.46

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Solution

The fourth proportional to 7,527.34, 11,299.05 and 6,371.46 is: 9,564.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.34 : 11,299.05 = 6,371.46 : x
  2. Step 2: Convert to fraction form
    7,527.34/11,299.05 = 6,371.46/x
  3. Step 3: Cross multiply
    7,527.34x = 11,299.05 × 6,371.46
  4. Step 4: Simplify right side
    7,527.34x = 71,991,445.11
  5. Step 5: Solve for x
    x = 71,991,445.11/7,527.34
  6. Step 6: Final answer
    x = 9,564.00

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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.