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Finding the Fourth Proportional to 11,943.32, 16,483.12 and 6,638.64

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Solution

The fourth proportional to 11,943.32, 16,483.12 and 6,638.64 is: 9,162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,943.32 : 16,483.12 = 6,638.64 : x
  2. Step 2: Convert to fraction form
    11,943.32/16,483.12 = 6,638.64/x
  3. Step 3: Cross multiply
    11,943.32x = 16,483.12 × 6,638.64
  4. Step 4: Simplify right side
    11,943.32x = 109,425,499.76
  5. Step 5: Solve for x
    x = 109,425,499.76/11,943.32
  6. Step 6: Final answer
    x = 9,162.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.