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Finding the Fourth Proportional to 11,970.44, 17,947.56 and 4,175

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Solution

The fourth proportional to 11,970.44, 17,947.56 and 4,175 is: 6,259.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.44 : 17,947.56 = 4,175 : x
  2. Step 2: Convert to fraction form
    11,970.44/17,947.56 = 4,175/x
  3. Step 3: Cross multiply
    11,970.44x = 17,947.56 × 4,175
  4. Step 4: Simplify right side
    11,970.44x = 74,931,063
  5. Step 5: Solve for x
    x = 74,931,063/11,970.44
  6. Step 6: Final answer
    x = 6,259.67

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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.