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Finding the Fourth Proportional to 10,734.56, 14,800.16 and 6,951.36

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Solution

The fourth proportional to 10,734.56, 14,800.16 and 6,951.36 is: 9,584.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,734.56 : 14,800.16 = 6,951.36 : x
  2. Step 2: Convert to fraction form
    10,734.56/14,800.16 = 6,951.36/x
  3. Step 3: Cross multiply
    10,734.56x = 14,800.16 × 6,951.36
  4. Step 4: Simplify right side
    10,734.56x = 102,881,240.22
  5. Step 5: Solve for x
    x = 102,881,240.22/10,734.56
  6. Step 6: Final answer
    x = 9,584.11

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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.