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Finding the Fourth Proportional to 11,961.63, 16,509.15 and 6,925.05

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Solution

The fourth proportional to 11,961.63, 16,509.15 and 6,925.05 is: 9,557.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.63 : 16,509.15 = 6,925.05 : x
  2. Step 2: Convert to fraction form
    11,961.63/16,509.15 = 6,925.05/x
  3. Step 3: Cross multiply
    11,961.63x = 16,509.15 × 6,925.05
  4. Step 4: Simplify right side
    11,961.63x = 114,326,689.21
  5. Step 5: Solve for x
    x = 114,326,689.21/11,961.63
  6. Step 6: Final answer
    x = 9,557.79

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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.