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Finding the Fourth Proportional to 7,130.74, 10,700.69 and 3,846.12

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Solution

The fourth proportional to 7,130.74, 10,700.69 and 3,846.12 is: 5,771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.74 : 10,700.69 = 3,846.12 : x
  2. Step 2: Convert to fraction form
    7,130.74/10,700.69 = 3,846.12/x
  3. Step 3: Cross multiply
    7,130.74x = 10,700.69 × 3,846.12
  4. Step 4: Simplify right side
    7,130.74x = 41,156,137.82
  5. Step 5: Solve for x
    x = 41,156,137.82/7,130.74
  6. Step 6: Final answer
    x = 5,771.65

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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.