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Finding the Fourth Proportional to 7,639.65, 11,465.01 and 2,709.32

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Solution

The fourth proportional to 7,639.65, 11,465.01 and 2,709.32 is: 4,065.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.65 : 11,465.01 = 2,709.32 : x
  2. Step 2: Convert to fraction form
    7,639.65/11,465.01 = 2,709.32/x
  3. Step 3: Cross multiply
    7,639.65x = 11,465.01 × 2,709.32
  4. Step 4: Simplify right side
    7,639.65x = 31,062,323.57
  5. Step 5: Solve for x
    x = 31,062,323.57/7,639.65
  6. Step 6: Final answer
    x = 4,065.94

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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.