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Finding the Fourth Proportional to 11,357.82, 15,674.58 and 6,881.76

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Solution

The fourth proportional to 11,357.82, 15,674.58 and 6,881.76 is: 9,497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.82 : 15,674.58 = 6,881.76 : x
  2. Step 2: Convert to fraction form
    11,357.82/15,674.58 = 6,881.76/x
  3. Step 3: Cross multiply
    11,357.82x = 15,674.58 × 6,881.76
  4. Step 4: Simplify right side
    11,357.82x = 107,868,697.66
  5. Step 5: Solve for x
    x = 107,868,697.66/11,357.82
  6. Step 6: Final answer
    x = 9,497.31

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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.