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Finding the Fourth Proportional to 11,510.21, 15,883.83 and 7,033.95

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Solution

The fourth proportional to 11,510.21, 15,883.83 and 7,033.95 is: 9,706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.21 : 15,883.83 = 7,033.95 : x
  2. Step 2: Convert to fraction form
    11,510.21/15,883.83 = 7,033.95/x
  3. Step 3: Cross multiply
    11,510.21x = 15,883.83 × 7,033.95
  4. Step 4: Simplify right side
    11,510.21x = 111,726,066.03
  5. Step 5: Solve for x
    x = 111,726,066.03/11,510.21
  6. Step 6: Final answer
    x = 9,706.69

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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.