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Finding the Fourth Proportional to 7,427.58, 10,256.37 and 5,309.70

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Solution

The fourth proportional to 7,427.58, 10,256.37 and 5,309.70 is: 7,331.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.58 : 10,256.37 = 5,309.70 : x
  2. Step 2: Convert to fraction form
    7,427.58/10,256.37 = 5,309.70/x
  3. Step 3: Cross multiply
    7,427.58x = 10,256.37 × 5,309.70
  4. Step 4: Simplify right side
    7,427.58x = 54,458,247.79
  5. Step 5: Solve for x
    x = 54,458,247.79/7,427.58
  6. Step 6: Final answer
    x = 7,331.90

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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.