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Finding the Fourth Proportional to 7,427.70, 10,253.39 and 5,005.60

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Solution

The fourth proportional to 7,427.70, 10,253.39 and 5,005.60 is: 6,909.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.70 : 10,253.39 = 5,005.60 : x
  2. Step 2: Convert to fraction form
    7,427.70/10,253.39 = 5,005.60/x
  3. Step 3: Cross multiply
    7,427.70x = 10,253.39 × 5,005.60
  4. Step 4: Simplify right side
    7,427.70x = 51,324,368.98
  5. Step 5: Solve for x
    x = 51,324,368.98/7,427.70
  6. Step 6: Final answer
    x = 6,909.86

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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.