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Finding the Fourth Proportional to 7,987.42, 11,965.15 and 4,823.03

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Solution

The fourth proportional to 7,987.42, 11,965.15 and 4,823.03 is: 7,224.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.42 : 11,965.15 = 4,823.03 : x
  2. Step 2: Convert to fraction form
    7,987.42/11,965.15 = 4,823.03/x
  3. Step 3: Cross multiply
    7,987.42x = 11,965.15 × 4,823.03
  4. Step 4: Simplify right side
    7,987.42x = 57,708,277.40
  5. Step 5: Solve for x
    x = 57,708,277.40/7,987.42
  6. Step 6: Final answer
    x = 7,224.90

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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.