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Finding the Fourth Proportional to 6,930.08, 10,392.84 and 2,312

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Solution

The fourth proportional to 6,930.08, 10,392.84 and 2,312 is: 3,467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.08 : 10,392.84 = 2,312 : x
  2. Step 2: Convert to fraction form
    6,930.08/10,392.84 = 2,312/x
  3. Step 3: Cross multiply
    6,930.08x = 10,392.84 × 2,312
  4. Step 4: Simplify right side
    6,930.08x = 24,028,246.08
  5. Step 5: Solve for x
    x = 24,028,246.08/6,930.08
  6. Step 6: Final answer
    x = 3,467.24

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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.