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Finding the Fourth Proportional to 7,763.50, 11,647.07 and 2,569.38

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Solution

The fourth proportional to 7,763.50, 11,647.07 and 2,569.38 is: 3,854.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.50 : 11,647.07 = 2,569.38 : x
  2. Step 2: Convert to fraction form
    7,763.50/11,647.07 = 2,569.38/x
  3. Step 3: Cross multiply
    7,763.50x = 11,647.07 × 2,569.38
  4. Step 4: Simplify right side
    7,763.50x = 29,925,748.72
  5. Step 5: Solve for x
    x = 29,925,748.72/7,763.50
  6. Step 6: Final answer
    x = 3,854.67

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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.