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Finding the Fourth Proportional to 6,893.16, 10,339.74 and 2,510.64

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Solution

The fourth proportional to 6,893.16, 10,339.74 and 2,510.64 is: 3,765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.16 : 10,339.74 = 2,510.64 : x
  2. Step 2: Convert to fraction form
    6,893.16/10,339.74 = 2,510.64/x
  3. Step 3: Cross multiply
    6,893.16x = 10,339.74 × 2,510.64
  4. Step 4: Simplify right side
    6,893.16x = 25,959,364.83
  5. Step 5: Solve for x
    x = 25,959,364.83/6,893.16
  6. Step 6: Final answer
    x = 3,765.96

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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.