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Finding the Fourth Proportional to 7,273.40, 10,038.86 and 4,288.14

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Solution

The fourth proportional to 7,273.40, 10,038.86 and 4,288.14 is: 5,918.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,273.40 : 10,038.86 = 4,288.14 : x
  2. Step 2: Convert to fraction form
    7,273.40/10,038.86 = 4,288.14/x
  3. Step 3: Cross multiply
    7,273.40x = 10,038.86 × 4,288.14
  4. Step 4: Simplify right side
    7,273.40x = 43,048,037.12
  5. Step 5: Solve for x
    x = 43,048,037.12/7,273.40
  6. Step 6: Final answer
    x = 5,918.56

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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.