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Finding the Fourth Proportional to 8,012.52, 12,002.46 and 6,537

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Solution

The fourth proportional to 8,012.52, 12,002.46 and 6,537 is: 9,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.52 : 12,002.46 = 6,537 : x
  2. Step 2: Convert to fraction form
    8,012.52/12,002.46 = 6,537/x
  3. Step 3: Cross multiply
    8,012.52x = 12,002.46 × 6,537
  4. Step 4: Simplify right side
    8,012.52x = 78,460,081.02
  5. Step 5: Solve for x
    x = 78,460,081.02/8,012.52
  6. Step 6: Final answer
    x = 9,792.19

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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.