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Finding the Fourth Proportional to 8,152.04, 12,226.10 and 3,765.28

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Solution

The fourth proportional to 8,152.04, 12,226.10 and 3,765.28 is: 5,647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.04 : 12,226.10 = 3,765.28 : x
  2. Step 2: Convert to fraction form
    8,152.04/12,226.10 = 3,765.28/x
  3. Step 3: Cross multiply
    8,152.04x = 12,226.10 × 3,765.28
  4. Step 4: Simplify right side
    8,152.04x = 46,034,689.81
  5. Step 5: Solve for x
    x = 46,034,689.81/8,152.04
  6. Step 6: Final answer
    x = 5,647.01

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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.