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Finding the Fourth Proportional to 11,913.13, 17,870.45 and 4,015

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Solution

The fourth proportional to 11,913.13, 17,870.45 and 4,015 is: 6,022.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.13 : 17,870.45 = 4,015 : x
  2. Step 2: Convert to fraction form
    11,913.13/17,870.45 = 4,015/x
  3. Step 3: Cross multiply
    11,913.13x = 17,870.45 × 4,015
  4. Step 4: Simplify right side
    11,913.13x = 71,749,856.75
  5. Step 5: Solve for x
    x = 71,749,856.75/11,913.13
  6. Step 6: Final answer
    x = 6,022.75

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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.