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Finding the Fourth Proportional to 10,287.52, 15,433.72 and 3,362

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Solution

The fourth proportional to 10,287.52, 15,433.72 and 3,362 is: 5,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.52 : 15,433.72 = 3,362 : x
  2. Step 2: Convert to fraction form
    10,287.52/15,433.72 = 3,362/x
  3. Step 3: Cross multiply
    10,287.52x = 15,433.72 × 3,362
  4. Step 4: Simplify right side
    10,287.52x = 51,888,166.64
  5. Step 5: Solve for x
    x = 51,888,166.64/10,287.52
  6. Step 6: Final answer
    x = 5,043.80

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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.