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Finding the Fourth Proportional to 10,975.26, 16,459.95 and 3,077.31

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Solution

The fourth proportional to 10,975.26, 16,459.95 and 3,077.31 is: 4,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.26 : 16,459.95 = 3,077.31 : x
  2. Step 2: Convert to fraction form
    10,975.26/16,459.95 = 3,077.31/x
  3. Step 3: Cross multiply
    10,975.26x = 16,459.95 × 3,077.31
  4. Step 4: Simplify right side
    10,975.26x = 50,652,368.73
  5. Step 5: Solve for x
    x = 50,652,368.73/10,975.26
  6. Step 6: Final answer
    x = 4,615.14

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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.