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Finding the Fourth Proportional to 10,596.42, 15,878.07 and 4,019.04

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Solution

The fourth proportional to 10,596.42, 15,878.07 and 4,019.04 is: 6,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.42 : 15,878.07 = 4,019.04 : x
  2. Step 2: Convert to fraction form
    10,596.42/15,878.07 = 4,019.04/x
  3. Step 3: Cross multiply
    10,596.42x = 15,878.07 × 4,019.04
  4. Step 4: Simplify right side
    10,596.42x = 63,814,598.45
  5. Step 5: Solve for x
    x = 63,814,598.45/10,596.42
  6. Step 6: Final answer
    x = 6,022.28

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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.