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Finding the Fourth Proportional to 7,523.12, 11,272.68 and 5,048.48

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Solution

The fourth proportional to 7,523.12, 11,272.68 and 5,048.48 is: 7,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.12 : 11,272.68 = 5,048.48 : x
  2. Step 2: Convert to fraction form
    7,523.12/11,272.68 = 5,048.48/x
  3. Step 3: Cross multiply
    7,523.12x = 11,272.68 × 5,048.48
  4. Step 4: Simplify right side
    7,523.12x = 56,909,899.53
  5. Step 5: Solve for x
    x = 56,909,899.53/7,523.12
  6. Step 6: Final answer
    x = 7,564.67

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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.