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Finding the Fourth Proportional to 10,215.60, 15,323.10 and 2,820.51

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Solution

The fourth proportional to 10,215.60, 15,323.10 and 2,820.51 is: 4,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215.60 : 15,323.10 = 2,820.51 : x
  2. Step 2: Convert to fraction form
    10,215.60/15,323.10 = 2,820.51/x
  3. Step 3: Cross multiply
    10,215.60x = 15,323.10 × 2,820.51
  4. Step 4: Simplify right side
    10,215.60x = 43,218,942.68
  5. Step 5: Solve for x
    x = 43,218,942.68/10,215.60
  6. Step 6: Final answer
    x = 4,230.68

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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.