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Finding the Fourth Proportional to 8,238.63, 12,298.02 and 7,629.51

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Solution

The fourth proportional to 8,238.63, 12,298.02 and 7,629.51 is: 11,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.63 : 12,298.02 = 7,629.51 : x
  2. Step 2: Convert to fraction form
    8,238.63/12,298.02 = 7,629.51/x
  3. Step 3: Cross multiply
    8,238.63x = 12,298.02 × 7,629.51
  4. Step 4: Simplify right side
    8,238.63x = 93,827,866.57
  5. Step 5: Solve for x
    x = 93,827,866.57/8,238.63
  6. Step 6: Final answer
    x = 11,388.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.