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Finding the Fourth Proportional to 8,068.88, 12,096.27 and 6,506.12

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Solution

The fourth proportional to 8,068.88, 12,096.27 and 6,506.12 is: 9,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,068.88 : 12,096.27 = 6,506.12 : x
  2. Step 2: Convert to fraction form
    8,068.88/12,096.27 = 6,506.12/x
  3. Step 3: Cross multiply
    8,068.88x = 12,096.27 × 6,506.12
  4. Step 4: Simplify right side
    8,068.88x = 78,699,784.17
  5. Step 5: Solve for x
    x = 78,699,784.17/8,068.88
  6. Step 6: Final answer
    x = 9,753.50

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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.