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Finding the Fourth Proportional to 6,870.41, 10,305.59 and 2,708.16

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Solution

The fourth proportional to 6,870.41, 10,305.59 and 2,708.16 is: 4,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.41 : 10,305.59 = 2,708.16 : x
  2. Step 2: Convert to fraction form
    6,870.41/10,305.59 = 2,708.16/x
  3. Step 3: Cross multiply
    6,870.41x = 10,305.59 × 2,708.16
  4. Step 4: Simplify right side
    6,870.41x = 27,909,173.07
  5. Step 5: Solve for x
    x = 27,909,173.07/6,870.41
  6. Step 6: Final answer
    x = 4,062.23

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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.