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Finding the Fourth Proportional to 10,411.40, 15,616.14 and 3,485.96

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Solution

The fourth proportional to 10,411.40, 15,616.14 and 3,485.96 is: 5,228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.40 : 15,616.14 = 3,485.96 : x
  2. Step 2: Convert to fraction form
    10,411.40/15,616.14 = 3,485.96/x
  3. Step 3: Cross multiply
    10,411.40x = 15,616.14 × 3,485.96
  4. Step 4: Simplify right side
    10,411.40x = 54,437,239.39
  5. Step 5: Solve for x
    x = 54,437,239.39/10,411.40
  6. Step 6: Final answer
    x = 5,228.62

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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.