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Finding the Fourth Proportional to 10,009.36, 15,012.42 and 3,435.76

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Solution

The fourth proportional to 10,009.36, 15,012.42 and 3,435.76 is: 5,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.36 : 15,012.42 = 3,435.76 : x
  2. Step 2: Convert to fraction form
    10,009.36/15,012.42 = 3,435.76/x
  3. Step 3: Cross multiply
    10,009.36x = 15,012.42 × 3,435.76
  4. Step 4: Simplify right side
    10,009.36x = 51,579,072.14
  5. Step 5: Solve for x
    x = 51,579,072.14/10,009.36
  6. Step 6: Final answer
    x = 5,153.08

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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.