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Finding the Fourth Proportional to 10,461.48, 15,676.02 and 6,081

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Solution

The fourth proportional to 10,461.48, 15,676.02 and 6,081 is: 9,112.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.48 : 15,676.02 = 6,081 : x
  2. Step 2: Convert to fraction form
    10,461.48/15,676.02 = 6,081/x
  3. Step 3: Cross multiply
    10,461.48x = 15,676.02 × 6,081
  4. Step 4: Simplify right side
    10,461.48x = 95,325,877.62
  5. Step 5: Solve for x
    x = 95,325,877.62/10,461.48
  6. Step 6: Final answer
    x = 9,112.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.