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Finding the Fourth Proportional to 7,186.08, 10,775.74 and 3,023.77

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Solution

The fourth proportional to 7,186.08, 10,775.74 and 3,023.77 is: 4,534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.08 : 10,775.74 = 3,023.77 : x
  2. Step 2: Convert to fraction form
    7,186.08/10,775.74 = 3,023.77/x
  3. Step 3: Cross multiply
    7,186.08x = 10,775.74 × 3,023.77
  4. Step 4: Simplify right side
    7,186.08x = 32,583,359.34
  5. Step 5: Solve for x
    x = 32,583,359.34/7,186.08
  6. Step 6: Final answer
    x = 4,534.24

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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.