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Finding the Fourth Proportional to 10,215.54, 15,326.06 and 3,643.61

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Solution

The fourth proportional to 10,215.54, 15,326.06 and 3,643.61 is: 5,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215.54 : 15,326.06 = 3,643.61 : x
  2. Step 2: Convert to fraction form
    10,215.54/15,326.06 = 3,643.61/x
  3. Step 3: Cross multiply
    10,215.54x = 15,326.06 × 3,643.61
  4. Step 4: Simplify right side
    10,215.54x = 55,842,090.63
  5. Step 5: Solve for x
    x = 55,842,090.63/10,215.54
  6. Step 6: Final answer
    x = 5,466.39

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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.