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Finding the Fourth Proportional to 7,006.54, 10,512.24 and 3,113.68

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Solution

The fourth proportional to 7,006.54, 10,512.24 and 3,113.68 is: 4,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.54 : 10,512.24 = 3,113.68 : x
  2. Step 2: Convert to fraction form
    7,006.54/10,512.24 = 3,113.68/x
  3. Step 3: Cross multiply
    7,006.54x = 10,512.24 × 3,113.68
  4. Step 4: Simplify right side
    7,006.54x = 32,731,751.44
  5. Step 5: Solve for x
    x = 32,731,751.44/7,006.54
  6. Step 6: Final answer
    x = 4,671.60

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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.