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Finding the Fourth Proportional to 10,396.13, 15,594.32 and 3,470.63

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Solution

The fourth proportional to 10,396.13, 15,594.32 and 3,470.63 is: 5,205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.13 : 15,594.32 = 3,470.63 : x
  2. Step 2: Convert to fraction form
    10,396.13/15,594.32 = 3,470.63/x
  3. Step 3: Cross multiply
    10,396.13x = 15,594.32 × 3,470.63
  4. Step 4: Simplify right side
    10,396.13x = 54,122,045.53
  5. Step 5: Solve for x
    x = 54,122,045.53/10,396.13
  6. Step 6: Final answer
    x = 5,205.98

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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.