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Finding the Fourth Proportional to 11,506.84, 15,879.80 and 7,474.66

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Solution

The fourth proportional to 11,506.84, 15,879.80 and 7,474.66 is: 10,315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.84 : 15,879.80 = 7,474.66 : x
  2. Step 2: Convert to fraction form
    11,506.84/15,879.80 = 7,474.66/x
  3. Step 3: Cross multiply
    11,506.84x = 15,879.80 × 7,474.66
  4. Step 4: Simplify right side
    11,506.84x = 118,696,105.87
  5. Step 5: Solve for x
    x = 118,696,105.87/11,506.84
  6. Step 6: Final answer
    x = 10,315.27

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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.