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Finding the Fourth Proportional to 8,461.45, 12,700.37 and 4,081.98

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Solution

The fourth proportional to 8,461.45, 12,700.37 and 4,081.98 is: 6,126.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.45 : 12,700.37 = 4,081.98 : x
  2. Step 2: Convert to fraction form
    8,461.45/12,700.37 = 4,081.98/x
  3. Step 3: Cross multiply
    8,461.45x = 12,700.37 × 4,081.98
  4. Step 4: Simplify right side
    8,461.45x = 51,842,666.54
  5. Step 5: Solve for x
    x = 51,842,666.54/8,461.45
  6. Step 6: Final answer
    x = 6,126.93

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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.