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Finding the Fourth Proportional to 10,272.96, 15,409.44 and 3,348

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Solution

The fourth proportional to 10,272.96, 15,409.44 and 3,348 is: 5,022.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.96 : 15,409.44 = 3,348 : x
  2. Step 2: Convert to fraction form
    10,272.96/15,409.44 = 3,348/x
  3. Step 3: Cross multiply
    10,272.96x = 15,409.44 × 3,348
  4. Step 4: Simplify right side
    10,272.96x = 51,590,805.12
  5. Step 5: Solve for x
    x = 51,590,805.12/10,272.96
  6. Step 6: Final answer
    x = 5,022.00

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Why These Related Problems?

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