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Finding the Fourth Proportional to 8,002.81, 11,045.23 and 4,648.43

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Solution

The fourth proportional to 8,002.81, 11,045.23 and 4,648.43 is: 6,415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.81 : 11,045.23 = 4,648.43 : x
  2. Step 2: Convert to fraction form
    8,002.81/11,045.23 = 4,648.43/x
  3. Step 3: Cross multiply
    8,002.81x = 11,045.23 × 4,648.43
  4. Step 4: Simplify right side
    8,002.81x = 51,342,994.48
  5. Step 5: Solve for x
    x = 51,342,994.48/8,002.81
  6. Step 6: Final answer
    x = 6,415.62

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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.