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Finding the Fourth Proportional to 5,006.12, 7,506 and 2,664.68

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Solution

The fourth proportional to 5,006.12, 7,506 and 2,664.68 is: 3,995.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.12 : 7,506 = 2,664.68 : x
  2. Step 2: Convert to fraction form
    5,006.12/7,506 = 2,664.68/x
  3. Step 3: Cross multiply
    5,006.12x = 7,506 × 2,664.68
  4. Step 4: Simplify right side
    5,006.12x = 20,001,050.55
  5. Step 5: Solve for x
    x = 20,001,050.55/5,006.12
  6. Step 6: Final answer
    x = 3,995.32

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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.