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Finding the Fourth Proportional to 10,216.54, 15,326.01 and 3,643.66

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Solution

The fourth proportional to 10,216.54, 15,326.01 and 3,643.66 is: 5,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.54 : 15,326.01 = 3,643.66 : x
  2. Step 2: Convert to fraction form
    10,216.54/15,326.01 = 3,643.66/x
  3. Step 3: Cross multiply
    10,216.54x = 15,326.01 × 3,643.66
  4. Step 4: Simplify right side
    10,216.54x = 55,842,769.60
  5. Step 5: Solve for x
    x = 55,842,769.60/10,216.54
  6. Step 6: Final answer
    x = 5,465.92

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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.