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Finding the Fourth Proportional to 11,357.48, 15,674.61 and 6,881.15

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Solution

The fourth proportional to 11,357.48, 15,674.61 and 6,881.15 is: 9,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.48 : 15,674.61 = 6,881.15 : x
  2. Step 2: Convert to fraction form
    11,357.48/15,674.61 = 6,881.15/x
  3. Step 3: Cross multiply
    11,357.48x = 15,674.61 × 6,881.15
  4. Step 4: Simplify right side
    11,357.48x = 107,859,342.60
  5. Step 5: Solve for x
    x = 107,859,342.60/11,357.48
  6. Step 6: Final answer
    x = 9,496.77

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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.