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Finding the Fourth Proportional to 7,985.26, 11,019.18 and 4,447.84

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Solution

The fourth proportional to 7,985.26, 11,019.18 and 4,447.84 is: 6,137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.26 : 11,019.18 = 4,447.84 : x
  2. Step 2: Convert to fraction form
    7,985.26/11,019.18 = 4,447.84/x
  3. Step 3: Cross multiply
    7,985.26x = 11,019.18 × 4,447.84
  4. Step 4: Simplify right side
    7,985.26x = 49,011,549.57
  5. Step 5: Solve for x
    x = 49,011,549.57/7,985.26
  6. Step 6: Final answer
    x = 6,137.75

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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.