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Finding the Fourth Proportional to 10,331.40, 15,495.58 and 3,405

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Solution

The fourth proportional to 10,331.40, 15,495.58 and 3,405 is: 5,107.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,331.40 : 15,495.58 = 3,405 : x
  2. Step 2: Convert to fraction form
    10,331.40/15,495.58 = 3,405/x
  3. Step 3: Cross multiply
    10,331.40x = 15,495.58 × 3,405
  4. Step 4: Simplify right side
    10,331.40x = 52,762,449.90
  5. Step 5: Solve for x
    x = 52,762,449.90/10,331.40
  6. Step 6: Final answer
    x = 5,107.00

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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.