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Finding the Fourth Proportional to 6,930.56, 10,392.48 and 2,312

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Solution

The fourth proportional to 6,930.56, 10,392.48 and 2,312 is: 3,466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.56 : 10,392.48 = 2,312 : x
  2. Step 2: Convert to fraction form
    6,930.56/10,392.48 = 2,312/x
  3. Step 3: Cross multiply
    6,930.56x = 10,392.48 × 2,312
  4. Step 4: Simplify right side
    6,930.56x = 24,027,413.76
  5. Step 5: Solve for x
    x = 24,027,413.76/6,930.56
  6. Step 6: Final answer
    x = 3,466.88

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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.