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Finding the Fourth Proportional to 10,420.94, 15,632.78 and 3,398.49

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Solution

The fourth proportional to 10,420.94, 15,632.78 and 3,398.49 is: 5,098.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.94 : 15,632.78 = 3,398.49 : x
  2. Step 2: Convert to fraction form
    10,420.94/15,632.78 = 3,398.49/x
  3. Step 3: Cross multiply
    10,420.94x = 15,632.78 × 3,398.49
  4. Step 4: Simplify right side
    10,420.94x = 53,127,829.51
  5. Step 5: Solve for x
    x = 53,127,829.51/10,420.94
  6. Step 6: Final answer
    x = 5,098.18

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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.