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Finding the Fourth Proportional to 6,707.34, 10,055.88 and 2,546.10

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Solution

The fourth proportional to 6,707.34, 10,055.88 and 2,546.10 is: 3,817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.34 : 10,055.88 = 2,546.10 : x
  2. Step 2: Convert to fraction form
    6,707.34/10,055.88 = 2,546.10/x
  3. Step 3: Cross multiply
    6,707.34x = 10,055.88 × 2,546.10
  4. Step 4: Simplify right side
    6,707.34x = 25,603,276.07
  5. Step 5: Solve for x
    x = 25,603,276.07/6,707.34
  6. Step 6: Final answer
    x = 3,817.20

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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.