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Finding the Fourth Proportional to 8,282.55, 11,430.03 and 4,745.75

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Solution

The fourth proportional to 8,282.55, 11,430.03 and 4,745.75 is: 6,549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.55 : 11,430.03 = 4,745.75 : x
  2. Step 2: Convert to fraction form
    8,282.55/11,430.03 = 4,745.75/x
  3. Step 3: Cross multiply
    8,282.55x = 11,430.03 × 4,745.75
  4. Step 4: Simplify right side
    8,282.55x = 54,244,041.14
  5. Step 5: Solve for x
    x = 54,244,041.14/8,282.55
  6. Step 6: Final answer
    x = 6,549.20

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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.