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Finding the Fourth Proportional to 6,368.63, 8,786.07 and 4,215.65

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Solution

The fourth proportional to 6,368.63, 8,786.07 and 4,215.65 is: 5,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.63 : 8,786.07 = 4,215.65 : x
  2. Step 2: Convert to fraction form
    6,368.63/8,786.07 = 4,215.65/x
  3. Step 3: Cross multiply
    6,368.63x = 8,786.07 × 4,215.65
  4. Step 4: Simplify right side
    6,368.63x = 37,038,952.07
  5. Step 5: Solve for x
    x = 37,038,952.07/6,368.63
  6. Step 6: Final answer
    x = 5,815.85

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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.