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Finding the Fourth Proportional to 10,575.36, 15,853.32 and 3,645

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Solution

The fourth proportional to 10,575.36, 15,853.32 and 3,645 is: 5,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.36 : 15,853.32 = 3,645 : x
  2. Step 2: Convert to fraction form
    10,575.36/15,853.32 = 3,645/x
  3. Step 3: Cross multiply
    10,575.36x = 15,853.32 × 3,645
  4. Step 4: Simplify right side
    10,575.36x = 57,785,351.40
  5. Step 5: Solve for x
    x = 57,785,351.40/10,575.36
  6. Step 6: Final answer
    x = 5,464.15

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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.