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Finding the Fourth Proportional to 6,935.41, 10,415.58 and 6,379.08

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Solution

The fourth proportional to 6,935.41, 10,415.58 and 6,379.08 is: 9,580.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.41 : 10,415.58 = 6,379.08 : x
  2. Step 2: Convert to fraction form
    6,935.41/10,415.58 = 6,379.08/x
  3. Step 3: Cross multiply
    6,935.41x = 10,415.58 × 6,379.08
  4. Step 4: Simplify right side
    6,935.41x = 66,441,818.07
  5. Step 5: Solve for x
    x = 66,441,818.07/6,935.41
  6. Step 6: Final answer
    x = 9,580.09

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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.