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Finding the Fourth Proportional to 7,438.53, 10,264.81 and 4,295.73

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Solution

The fourth proportional to 7,438.53, 10,264.81 and 4,295.73 is: 5,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.53 : 10,264.81 = 4,295.73 : x
  2. Step 2: Convert to fraction form
    7,438.53/10,264.81 = 4,295.73/x
  3. Step 3: Cross multiply
    7,438.53x = 10,264.81 × 4,295.73
  4. Step 4: Simplify right side
    7,438.53x = 44,094,852.26
  5. Step 5: Solve for x
    x = 44,094,852.26/7,438.53
  6. Step 6: Final answer
    x = 5,927.90

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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.