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Finding the Fourth Proportional to 10,594.56, 15,899.04 and 3,669

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Solution

The fourth proportional to 10,594.56, 15,899.04 and 3,669 is: 5,505.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.56 : 15,899.04 = 3,669 : x
  2. Step 2: Convert to fraction form
    10,594.56/15,899.04 = 3,669/x
  3. Step 3: Cross multiply
    10,594.56x = 15,899.04 × 3,669
  4. Step 4: Simplify right side
    10,594.56x = 58,333,577.76
  5. Step 5: Solve for x
    x = 58,333,577.76/10,594.56
  6. Step 6: Final answer
    x = 5,505.99

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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.