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Finding the Fourth Proportional to 8,457.70, 11,676.32 and 5,101.36

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Solution

The fourth proportional to 8,457.70, 11,676.32 and 5,101.36 is: 7,042.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.70 : 11,676.32 = 5,101.36 : x
  2. Step 2: Convert to fraction form
    8,457.70/11,676.32 = 5,101.36/x
  3. Step 3: Cross multiply
    8,457.70x = 11,676.32 × 5,101.36
  4. Step 4: Simplify right side
    8,457.70x = 59,565,111.80
  5. Step 5: Solve for x
    x = 59,565,111.80/8,457.70
  6. Step 6: Final answer
    x = 7,042.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.