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Finding the Fourth Proportional to 10,280.96, 15,420 and 3,355.52

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Solution

The fourth proportional to 10,280.96, 15,420 and 3,355.52 is: 5,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.96 : 15,420 = 3,355.52 : x
  2. Step 2: Convert to fraction form
    10,280.96/15,420 = 3,355.52/x
  3. Step 3: Cross multiply
    10,280.96x = 15,420 × 3,355.52
  4. Step 4: Simplify right side
    10,280.96x = 51,742,118.40
  5. Step 5: Solve for x
    x = 51,742,118.40/10,280.96
  6. Step 6: Final answer
    x = 5,032.81

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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.