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Finding the Fourth Proportional to 11,380.69, 15,704.95 and 6,345.12

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Solution

The fourth proportional to 11,380.69, 15,704.95 and 6,345.12 is: 8,756.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.69 : 15,704.95 = 6,345.12 : x
  2. Step 2: Convert to fraction form
    11,380.69/15,704.95 = 6,345.12/x
  3. Step 3: Cross multiply
    11,380.69x = 15,704.95 × 6,345.12
  4. Step 4: Simplify right side
    11,380.69x = 99,649,792.34
  5. Step 5: Solve for x
    x = 99,649,792.34/11,380.69
  6. Step 6: Final answer
    x = 8,756.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.