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Finding the Fourth Proportional to 8,000.58, 11,984.01 and 5,214.89

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Solution

The fourth proportional to 8,000.58, 11,984.01 and 5,214.89 is: 7,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.58 : 11,984.01 = 5,214.89 : x
  2. Step 2: Convert to fraction form
    8,000.58/11,984.01 = 5,214.89/x
  3. Step 3: Cross multiply
    8,000.58x = 11,984.01 × 5,214.89
  4. Step 4: Simplify right side
    8,000.58x = 62,495,293.91
  5. Step 5: Solve for x
    x = 62,495,293.91/8,000.58
  6. Step 6: Final answer
    x = 7,811.35

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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.