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Finding the Fourth Proportional to 11,594.88, 17,390.40 and 3,802.56

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Solution

The fourth proportional to 11,594.88, 17,390.40 and 3,802.56 is: 5,703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.88 : 17,390.40 = 3,802.56 : x
  2. Step 2: Convert to fraction form
    11,594.88/17,390.40 = 3,802.56/x
  3. Step 3: Cross multiply
    11,594.88x = 17,390.40 × 3,802.56
  4. Step 4: Simplify right side
    11,594.88x = 66,128,039.42
  5. Step 5: Solve for x
    x = 66,128,039.42/11,594.88
  6. Step 6: Final answer
    x = 5,703.21

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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.