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Finding the Fourth Proportional to 7,137.98, 10,692.03 and 4,527.98

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Solution

The fourth proportional to 7,137.98, 10,692.03 and 4,527.98 is: 6,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.98 : 10,692.03 = 4,527.98 : x
  2. Step 2: Convert to fraction form
    7,137.98/10,692.03 = 4,527.98/x
  3. Step 3: Cross multiply
    7,137.98x = 10,692.03 × 4,527.98
  4. Step 4: Simplify right side
    7,137.98x = 48,413,298.00
  5. Step 5: Solve for x
    x = 48,413,298.00/7,137.98
  6. Step 6: Final answer
    x = 6,782.49

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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.