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Finding the Fourth Proportional to 10,108.44, 13,948.68 and 7,457.32

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Solution

The fourth proportional to 10,108.44, 13,948.68 and 7,457.32 is: 10,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108.44 : 13,948.68 = 7,457.32 : x
  2. Step 2: Convert to fraction form
    10,108.44/13,948.68 = 7,457.32/x
  3. Step 3: Cross multiply
    10,108.44x = 13,948.68 × 7,457.32
  4. Step 4: Simplify right side
    10,108.44x = 104,019,770.34
  5. Step 5: Solve for x
    x = 104,019,770.34/10,108.44
  6. Step 6: Final answer
    x = 10,290.39

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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.