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Finding the Fourth Proportional to 7,460.75, 10,295.89 and 4,057.76

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Solution

The fourth proportional to 7,460.75, 10,295.89 and 4,057.76 is: 5,599.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.75 : 10,295.89 = 4,057.76 : x
  2. Step 2: Convert to fraction form
    7,460.75/10,295.89 = 4,057.76/x
  3. Step 3: Cross multiply
    7,460.75x = 10,295.89 × 4,057.76
  4. Step 4: Simplify right side
    7,460.75x = 41,778,308.33
  5. Step 5: Solve for x
    x = 41,778,308.33/7,460.75
  6. Step 6: Final answer
    x = 5,599.74

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