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Finding the Fourth Proportional to 10,298.73, 15,448.11 and 2,507.54

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Solution

The fourth proportional to 10,298.73, 15,448.11 and 2,507.54 is: 3,761.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.73 : 15,448.11 = 2,507.54 : x
  2. Step 2: Convert to fraction form
    10,298.73/15,448.11 = 2,507.54/x
  3. Step 3: Cross multiply
    10,298.73x = 15,448.11 × 2,507.54
  4. Step 4: Simplify right side
    10,298.73x = 38,736,676.51
  5. Step 5: Solve for x
    x = 38,736,676.51/10,298.73
  6. Step 6: Final answer
    x = 3,761.31

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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.