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Finding the Fourth Proportional to 10,416.32, 15,620.78 and 3,019.26

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Solution

The fourth proportional to 10,416.32, 15,620.78 and 3,019.26 is: 4,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.32 : 15,620.78 = 3,019.26 : x
  2. Step 2: Convert to fraction form
    10,416.32/15,620.78 = 3,019.26/x
  3. Step 3: Cross multiply
    10,416.32x = 15,620.78 × 3,019.26
  4. Step 4: Simplify right side
    10,416.32x = 47,163,196.22
  5. Step 5: Solve for x
    x = 47,163,196.22/10,416.32
  6. Step 6: Final answer
    x = 4,527.82

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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.