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Finding the Fourth Proportional to 11,883.04, 16,402.69 and 6,849.26

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Solution

The fourth proportional to 11,883.04, 16,402.69 and 6,849.26 is: 9,454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.04 : 16,402.69 = 6,849.26 : x
  2. Step 2: Convert to fraction form
    11,883.04/16,402.69 = 6,849.26/x
  3. Step 3: Cross multiply
    11,883.04x = 16,402.69 × 6,849.26
  4. Step 4: Simplify right side
    11,883.04x = 112,346,288.51
  5. Step 5: Solve for x
    x = 112,346,288.51/11,883.04
  6. Step 6: Final answer
    x = 9,454.34

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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.