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Finding the Fourth Proportional to 8,018, 11,064.84 and 4,706

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Solution

The fourth proportional to 8,018, 11,064.84 and 4,706 is: 6,494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,018 : 11,064.84 = 4,706 : x
  2. Step 2: Convert to fraction form
    8,018/11,064.84 = 4,706/x
  3. Step 3: Cross multiply
    8,018x = 11,064.84 × 4,706
  4. Step 4: Simplify right side
    8,018x = 52,071,137.04
  5. Step 5: Solve for x
    x = 52,071,137.04/8,018
  6. Step 6: Final answer
    x = 6,494.28

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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.