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Finding the Fourth Proportional to 11,911.72, 16,437.52 and 6,606.40

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Solution

The fourth proportional to 11,911.72, 16,437.52 and 6,606.40 is: 9,116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.72 : 16,437.52 = 6,606.40 : x
  2. Step 2: Convert to fraction form
    11,911.72/16,437.52 = 6,606.40/x
  3. Step 3: Cross multiply
    11,911.72x = 16,437.52 × 6,606.40
  4. Step 4: Simplify right side
    11,911.72x = 108,592,832.13
  5. Step 5: Solve for x
    x = 108,592,832.13/11,911.72
  6. Step 6: Final answer
    x = 9,116.47

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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.