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Finding the Fourth Proportional to 13,078.44, 19,616.58 and 6,057

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Solution

The fourth proportional to 13,078.44, 19,616.58 and 6,057 is: 9,085.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.44 : 19,616.58 = 6,057 : x
  2. Step 2: Convert to fraction form
    13,078.44/19,616.58 = 6,057/x
  3. Step 3: Cross multiply
    13,078.44x = 19,616.58 × 6,057
  4. Step 4: Simplify right side
    13,078.44x = 118,817,625.06
  5. Step 5: Solve for x
    x = 118,817,625.06/13,078.44
  6. Step 6: Final answer
    x = 9,085.00

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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.