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Finding the Fourth Proportional to 8,095.84, 12,138 and 6,537.76

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Solution

The fourth proportional to 8,095.84, 12,138 and 6,537.76 is: 9,801.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.84 : 12,138 = 6,537.76 : x
  2. Step 2: Convert to fraction form
    8,095.84/12,138 = 6,537.76/x
  3. Step 3: Cross multiply
    8,095.84x = 12,138 × 6,537.76
  4. Step 4: Simplify right side
    8,095.84x = 79,355,330.88
  5. Step 5: Solve for x
    x = 79,355,330.88/8,095.84
  6. Step 6: Final answer
    x = 9,801.99

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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.