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Finding the Fourth Proportional to 11,970.32, 17,953.36 and 3,648.32

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Solution

The fourth proportional to 11,970.32, 17,953.36 and 3,648.32 is: 5,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.32 : 17,953.36 = 3,648.32 : x
  2. Step 2: Convert to fraction form
    11,970.32/17,953.36 = 3,648.32/x
  3. Step 3: Cross multiply
    11,970.32x = 17,953.36 × 3,648.32
  4. Step 4: Simplify right side
    11,970.32x = 65,499,602.36
  5. Step 5: Solve for x
    x = 65,499,602.36/11,970.32
  6. Step 6: Final answer
    x = 5,471.83

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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.