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Finding the Fourth Proportional to 12,727.64, 19,097.13 and 4,937.06

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Solution

The fourth proportional to 12,727.64, 19,097.13 and 4,937.06 is: 7,407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.64 : 19,097.13 = 4,937.06 : x
  2. Step 2: Convert to fraction form
    12,727.64/19,097.13 = 4,937.06/x
  3. Step 3: Cross multiply
    12,727.64x = 19,097.13 × 4,937.06
  4. Step 4: Simplify right side
    12,727.64x = 94,283,676.64
  5. Step 5: Solve for x
    x = 94,283,676.64/12,727.64
  6. Step 6: Final answer
    x = 7,407.79

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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.