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Finding the Fourth Proportional to 10,562.44, 15,840.46 and 4,405

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Solution

The fourth proportional to 10,562.44, 15,840.46 and 4,405 is: 6,606.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.44 : 15,840.46 = 4,405 : x
  2. Step 2: Convert to fraction form
    10,562.44/15,840.46 = 4,405/x
  3. Step 3: Cross multiply
    10,562.44x = 15,840.46 × 4,405
  4. Step 4: Simplify right side
    10,562.44x = 69,777,226.30
  5. Step 5: Solve for x
    x = 69,777,226.30/10,562.44
  6. Step 6: Final answer
    x = 6,606.17

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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.