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Finding the Fourth Proportional to 10,409.42, 15,616.64 and 3,014.39

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Solution

The fourth proportional to 10,409.42, 15,616.64 and 3,014.39 is: 4,522.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.42 : 15,616.64 = 3,014.39 : x
  2. Step 2: Convert to fraction form
    10,409.42/15,616.64 = 3,014.39/x
  3. Step 3: Cross multiply
    10,409.42x = 15,616.64 × 3,014.39
  4. Step 4: Simplify right side
    10,409.42x = 47,074,667.42
  5. Step 5: Solve for x
    x = 47,074,667.42/10,409.42
  6. Step 6: Final answer
    x = 4,522.31

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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.