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Finding the Fourth Proportional to 5,632.13, 8,448.12 and 5,289.60

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Solution

The fourth proportional to 5,632.13, 8,448.12 and 5,289.60 is: 7,934.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.13 : 8,448.12 = 5,289.60 : x
  2. Step 2: Convert to fraction form
    5,632.13/8,448.12 = 5,289.60/x
  3. Step 3: Cross multiply
    5,632.13x = 8,448.12 × 5,289.60
  4. Step 4: Simplify right side
    5,632.13x = 44,687,175.55
  5. Step 5: Solve for x
    x = 44,687,175.55/5,632.13
  6. Step 6: Final answer
    x = 7,934.34

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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.