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Finding the Fourth Proportional to 7,870.55, 11,805.86 and 2,940.14

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Solution

The fourth proportional to 7,870.55, 11,805.86 and 2,940.14 is: 4,410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.55 : 11,805.86 = 2,940.14 : x
  2. Step 2: Convert to fraction form
    7,870.55/11,805.86 = 2,940.14/x
  3. Step 3: Cross multiply
    7,870.55x = 11,805.86 × 2,940.14
  4. Step 4: Simplify right side
    7,870.55x = 34,710,896.03
  5. Step 5: Solve for x
    x = 34,710,896.03/7,870.55
  6. Step 6: Final answer
    x = 4,410.23

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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.