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Finding the Fourth Proportional to 12,583.44, 17,357.76 and 7,870.05

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Solution

The fourth proportional to 12,583.44, 17,357.76 and 7,870.05 is: 10,856.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.44 : 17,357.76 = 7,870.05 : x
  2. Step 2: Convert to fraction form
    12,583.44/17,357.76 = 7,870.05/x
  3. Step 3: Cross multiply
    12,583.44x = 17,357.76 × 7,870.05
  4. Step 4: Simplify right side
    12,583.44x = 136,606,439.09
  5. Step 5: Solve for x
    x = 136,606,439.09/12,583.44
  6. Step 6: Final answer
    x = 10,856.05

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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.