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Finding the Fourth Proportional to 10,975.33, 16,460.04 and 3,077.40

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Solution

The fourth proportional to 10,975.33, 16,460.04 and 3,077.40 is: 4,615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.33 : 16,460.04 = 3,077.40 : x
  2. Step 2: Convert to fraction form
    10,975.33/16,460.04 = 3,077.40/x
  3. Step 3: Cross multiply
    10,975.33x = 16,460.04 × 3,077.40
  4. Step 4: Simplify right side
    10,975.33x = 50,654,127.10
  5. Step 5: Solve for x
    x = 50,654,127.10/10,975.33
  6. Step 6: Final answer
    x = 4,615.27

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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.