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Finding the Fourth Proportional to 8,472.63, 12,703.41 and 4,085.94

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Solution

The fourth proportional to 8,472.63, 12,703.41 and 4,085.94 is: 6,126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.63 : 12,703.41 = 4,085.94 : x
  2. Step 2: Convert to fraction form
    8,472.63/12,703.41 = 4,085.94/x
  3. Step 3: Cross multiply
    8,472.63x = 12,703.41 × 4,085.94
  4. Step 4: Simplify right side
    8,472.63x = 51,905,371.06
  5. Step 5: Solve for x
    x = 51,905,371.06/8,472.63
  6. Step 6: Final answer
    x = 6,126.24

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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.