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Finding the Fourth Proportional to 8,064.30, 12,096.45 and 4,176.30

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Solution

The fourth proportional to 8,064.30, 12,096.45 and 4,176.30 is: 6,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.30 : 12,096.45 = 4,176.30 : x
  2. Step 2: Convert to fraction form
    8,064.30/12,096.45 = 4,176.30/x
  3. Step 3: Cross multiply
    8,064.30x = 12,096.45 × 4,176.30
  4. Step 4: Simplify right side
    8,064.30x = 50,518,404.14
  5. Step 5: Solve for x
    x = 50,518,404.14/8,064.30
  6. Step 6: Final answer
    x = 6,264.45

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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.