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Finding the Fourth Proportional to 7,985.20, 11,019.36 and 4,448.20

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Solution

The fourth proportional to 7,985.20, 11,019.36 and 4,448.20 is: 6,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.20 : 11,019.36 = 4,448.20 : x
  2. Step 2: Convert to fraction form
    7,985.20/11,019.36 = 4,448.20/x
  3. Step 3: Cross multiply
    7,985.20x = 11,019.36 × 4,448.20
  4. Step 4: Simplify right side
    7,985.20x = 49,016,317.15
  5. Step 5: Solve for x
    x = 49,016,317.15/7,985.20
  6. Step 6: Final answer
    x = 6,138.40

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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.