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Finding the Fourth Proportional to 8,034, 12,038.56 and 5,573.68

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Solution

The fourth proportional to 8,034, 12,038.56 and 5,573.68 is: 8,351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034 : 12,038.56 = 5,573.68 : x
  2. Step 2: Convert to fraction form
    8,034/12,038.56 = 5,573.68/x
  3. Step 3: Cross multiply
    8,034x = 12,038.56 × 5,573.68
  4. Step 4: Simplify right side
    8,034x = 67,099,081.10
  5. Step 5: Solve for x
    x = 67,099,081.10/8,034
  6. Step 6: Final answer
    x = 8,351.89

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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.