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Finding the Fourth Proportional to 10,458.12, 15,676.05 and 4,906.74

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Solution

The fourth proportional to 10,458.12, 15,676.05 and 4,906.74 is: 7,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.12 : 15,676.05 = 4,906.74 : x
  2. Step 2: Convert to fraction form
    10,458.12/15,676.05 = 4,906.74/x
  3. Step 3: Cross multiply
    10,458.12x = 15,676.05 × 4,906.74
  4. Step 4: Simplify right side
    10,458.12x = 76,918,301.58
  5. Step 5: Solve for x
    x = 76,918,301.58/10,458.12
  6. Step 6: Final answer
    x = 7,354.89

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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.