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Finding the Fourth Proportional to 11,411.93, 17,119.71 and 4,838.19

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Solution

The fourth proportional to 11,411.93, 17,119.71 and 4,838.19 is: 7,258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.93 : 17,119.71 = 4,838.19 : x
  2. Step 2: Convert to fraction form
    11,411.93/17,119.71 = 4,838.19/x
  3. Step 3: Cross multiply
    11,411.93x = 17,119.71 × 4,838.19
  4. Step 4: Simplify right side
    11,411.93x = 82,828,409.72
  5. Step 5: Solve for x
    x = 82,828,409.72/11,411.93
  6. Step 6: Final answer
    x = 7,258.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.