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Finding the Fourth Proportional to 7,527.40, 11,266.24 and 6,989.56

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Solution

The fourth proportional to 7,527.40, 11,266.24 and 6,989.56 is: 10,461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.40 : 11,266.24 = 6,989.56 : x
  2. Step 2: Convert to fraction form
    7,527.40/11,266.24 = 6,989.56/x
  3. Step 3: Cross multiply
    7,527.40x = 11,266.24 × 6,989.56
  4. Step 4: Simplify right side
    7,527.40x = 78,746,060.45
  5. Step 5: Solve for x
    x = 78,746,060.45/7,527.40
  6. Step 6: Final answer
    x = 10,461.26

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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.