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Finding the Fourth Proportional to 8,057.10, 12,085.16 and 4,790.98

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Solution

The fourth proportional to 8,057.10, 12,085.16 and 4,790.98 is: 7,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.10 : 12,085.16 = 4,790.98 : x
  2. Step 2: Convert to fraction form
    8,057.10/12,085.16 = 4,790.98/x
  3. Step 3: Cross multiply
    8,057.10x = 12,085.16 × 4,790.98
  4. Step 4: Simplify right side
    8,057.10x = 57,899,675.48
  5. Step 5: Solve for x
    x = 57,899,675.48/8,057.10
  6. Step 6: Final answer
    x = 7,186.17

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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.