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Finding the Fourth Proportional to 10,448.25, 15,671.63 and 4,902.81

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Solution

The fourth proportional to 10,448.25, 15,671.63 and 4,902.81 is: 7,353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.25 : 15,671.63 = 4,902.81 : x
  2. Step 2: Convert to fraction form
    10,448.25/15,671.63 = 4,902.81/x
  3. Step 3: Cross multiply
    10,448.25x = 15,671.63 × 4,902.81
  4. Step 4: Simplify right side
    10,448.25x = 76,835,024.28
  5. Step 5: Solve for x
    x = 76,835,024.28/10,448.25
  6. Step 6: Final answer
    x = 7,353.87

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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.