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Finding the Fourth Proportional to 7,616.66, 11,429.35 and 4,106.65

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Solution

The fourth proportional to 7,616.66, 11,429.35 and 4,106.65 is: 6,162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.66 : 11,429.35 = 4,106.65 : x
  2. Step 2: Convert to fraction form
    7,616.66/11,429.35 = 4,106.65/x
  3. Step 3: Cross multiply
    7,616.66x = 11,429.35 × 4,106.65
  4. Step 4: Simplify right side
    7,616.66x = 46,936,345.87
  5. Step 5: Solve for x
    x = 46,936,345.87/7,616.66
  6. Step 6: Final answer
    x = 6,162.33

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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.