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Finding the Fourth Proportional to 13,083.46, 19,603.43 and 7,878.66

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Solution

The fourth proportional to 13,083.46, 19,603.43 and 7,878.66 is: 11,804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.46 : 19,603.43 = 7,878.66 : x
  2. Step 2: Convert to fraction form
    13,083.46/19,603.43 = 7,878.66/x
  3. Step 3: Cross multiply
    13,083.46x = 19,603.43 × 7,878.66
  4. Step 4: Simplify right side
    13,083.46x = 154,448,759.80
  5. Step 5: Solve for x
    x = 154,448,759.80/13,083.46
  6. Step 6: Final answer
    x = 11,804.89

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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.