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Finding the Fourth Proportional to 8,157.95, 12,235.08 and 3,773

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Solution

The fourth proportional to 8,157.95, 12,235.08 and 3,773 is: 5,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.95 : 12,235.08 = 3,773 : x
  2. Step 2: Convert to fraction form
    8,157.95/12,235.08 = 3,773/x
  3. Step 3: Cross multiply
    8,157.95x = 12,235.08 × 3,773
  4. Step 4: Simplify right side
    8,157.95x = 46,162,956.84
  5. Step 5: Solve for x
    x = 46,162,956.84/8,157.95
  6. Step 6: Final answer
    x = 5,658.65

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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.