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Finding the Fourth Proportional to 6,970.11, 10,455.17 and 3,077.25

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Solution

The fourth proportional to 6,970.11, 10,455.17 and 3,077.25 is: 4,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.11 : 10,455.17 = 3,077.25 : x
  2. Step 2: Convert to fraction form
    6,970.11/10,455.17 = 3,077.25/x
  3. Step 3: Cross multiply
    6,970.11x = 10,455.17 × 3,077.25
  4. Step 4: Simplify right side
    6,970.11x = 32,173,171.88
  5. Step 5: Solve for x
    x = 32,173,171.88/6,970.11
  6. Step 6: Final answer
    x = 4,615.88

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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.