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Finding the Fourth Proportional to 11,706.68, 17,559.33 and 3,386.51

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Solution

The fourth proportional to 11,706.68, 17,559.33 and 3,386.51 is: 5,079.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.68 : 17,559.33 = 3,386.51 : x
  2. Step 2: Convert to fraction form
    11,706.68/17,559.33 = 3,386.51/x
  3. Step 3: Cross multiply
    11,706.68x = 17,559.33 × 3,386.51
  4. Step 4: Simplify right side
    11,706.68x = 59,464,831.04
  5. Step 5: Solve for x
    x = 59,464,831.04/11,706.68
  6. Step 6: Final answer
    x = 5,079.57

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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.