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Finding the Fourth Proportional to 11,264.67, 15,545.16 and 6,296.67

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Solution

The fourth proportional to 11,264.67, 15,545.16 and 6,296.67 is: 8,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.67 : 15,545.16 = 6,296.67 : x
  2. Step 2: Convert to fraction form
    11,264.67/15,545.16 = 6,296.67/x
  3. Step 3: Cross multiply
    11,264.67x = 15,545.16 × 6,296.67
  4. Step 4: Simplify right side
    11,264.67x = 97,882,742.62
  5. Step 5: Solve for x
    x = 97,882,742.62/11,264.67
  6. Step 6: Final answer
    x = 8,689.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.