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Finding the Fourth Proportional to 7,709.43, 11,554.07 and 3,095.67

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Solution

The fourth proportional to 7,709.43, 11,554.07 and 3,095.67 is: 4,639.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.43 : 11,554.07 = 3,095.67 : x
  2. Step 2: Convert to fraction form
    7,709.43/11,554.07 = 3,095.67/x
  3. Step 3: Cross multiply
    7,709.43x = 11,554.07 × 3,095.67
  4. Step 4: Simplify right side
    7,709.43x = 35,767,572.40
  5. Step 5: Solve for x
    x = 35,767,572.40/7,709.43
  6. Step 6: Final answer
    x = 4,639.46

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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.