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Finding the Fourth Proportional to 7,127.66, 10,692.77 and 2,446.46

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Solution

The fourth proportional to 7,127.66, 10,692.77 and 2,446.46 is: 3,670.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.66 : 10,692.77 = 2,446.46 : x
  2. Step 2: Convert to fraction form
    7,127.66/10,692.77 = 2,446.46/x
  3. Step 3: Cross multiply
    7,127.66x = 10,692.77 × 2,446.46
  4. Step 4: Simplify right side
    7,127.66x = 26,159,408.50
  5. Step 5: Solve for x
    x = 26,159,408.50/7,127.66
  6. Step 6: Final answer
    x = 3,670.12

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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.