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Finding the Fourth Proportional to 11,483.68, 17,232.24 and 6,560.32

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Solution

The fourth proportional to 11,483.68, 17,232.24 and 6,560.32 is: 9,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.68 : 17,232.24 = 6,560.32 : x
  2. Step 2: Convert to fraction form
    11,483.68/17,232.24 = 6,560.32/x
  3. Step 3: Cross multiply
    11,483.68x = 17,232.24 × 6,560.32
  4. Step 4: Simplify right side
    11,483.68x = 113,049,008.72
  5. Step 5: Solve for x
    x = 113,049,008.72/11,483.68
  6. Step 6: Final answer
    x = 9,844.32

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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.