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Finding the Fourth Proportional to 8,019.44, 12,005.70 and 4,677.47

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Solution

The fourth proportional to 8,019.44, 12,005.70 and 4,677.47 is: 7,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019.44 : 12,005.70 = 4,677.47 : x
  2. Step 2: Convert to fraction form
    8,019.44/12,005.70 = 4,677.47/x
  3. Step 3: Cross multiply
    8,019.44x = 12,005.70 × 4,677.47
  4. Step 4: Simplify right side
    8,019.44x = 56,156,224.01
  5. Step 5: Solve for x
    x = 56,156,224.01/8,019.44
  6. Step 6: Final answer
    x = 7,002.52

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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.