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Finding the Fourth Proportional to 7,010.34, 10,515.50 and 3,114.44

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Solution

The fourth proportional to 7,010.34, 10,515.50 and 3,114.44 is: 4,671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.34 : 10,515.50 = 3,114.44 : x
  2. Step 2: Convert to fraction form
    7,010.34/10,515.50 = 3,114.44/x
  3. Step 3: Cross multiply
    7,010.34x = 10,515.50 × 3,114.44
  4. Step 4: Simplify right side
    7,010.34x = 32,749,893.82
  5. Step 5: Solve for x
    x = 32,749,893.82/7,010.34
  6. Step 6: Final answer
    x = 4,671.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.