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Finding the Fourth Proportional to 7,510.71, 11,264.76 and 2,245.59

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Solution

The fourth proportional to 7,510.71, 11,264.76 and 2,245.59 is: 3,367.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,510.71 : 11,264.76 = 2,245.59 : x
  2. Step 2: Convert to fraction form
    7,510.71/11,264.76 = 2,245.59/x
  3. Step 3: Cross multiply
    7,510.71x = 11,264.76 × 2,245.59
  4. Step 4: Simplify right side
    7,510.71x = 25,296,032.41
  5. Step 5: Solve for x
    x = 25,296,032.41/7,510.71
  6. Step 6: Final answer
    x = 3,367.99

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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.