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Finding the Fourth Proportional to 10,208.84, 15,315.42 and 3,637.04

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Solution

The fourth proportional to 10,208.84, 15,315.42 and 3,637.04 is: 5,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.84 : 15,315.42 = 3,637.04 : x
  2. Step 2: Convert to fraction form
    10,208.84/15,315.42 = 3,637.04/x
  3. Step 3: Cross multiply
    10,208.84x = 15,315.42 × 3,637.04
  4. Step 4: Simplify right side
    10,208.84x = 55,702,795.16
  5. Step 5: Solve for x
    x = 55,702,795.16/10,208.84
  6. Step 6: Final answer
    x = 5,456.33

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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.