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Finding the Fourth Proportional to 11,709.63, 16,156.04 and 6,992.19

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Solution

The fourth proportional to 11,709.63, 16,156.04 and 6,992.19 is: 9,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.63 : 16,156.04 = 6,992.19 : x
  2. Step 2: Convert to fraction form
    11,709.63/16,156.04 = 6,992.19/x
  3. Step 3: Cross multiply
    11,709.63x = 16,156.04 × 6,992.19
  4. Step 4: Simplify right side
    11,709.63x = 112,966,066.37
  5. Step 5: Solve for x
    x = 112,966,066.37/11,709.63
  6. Step 6: Final answer
    x = 9,647.28

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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.