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Finding the Fourth Proportional to 10,348.31, 15,509.73 and 4,794.14

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Solution

The fourth proportional to 10,348.31, 15,509.73 and 4,794.14 is: 7,185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.31 : 15,509.73 = 4,794.14 : x
  2. Step 2: Convert to fraction form
    10,348.31/15,509.73 = 4,794.14/x
  3. Step 3: Cross multiply
    10,348.31x = 15,509.73 × 4,794.14
  4. Step 4: Simplify right side
    10,348.31x = 74,355,816.98
  5. Step 5: Solve for x
    x = 74,355,816.98/10,348.31
  6. Step 6: Final answer
    x = 7,185.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.