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Finding the Fourth Proportional to 11,280.67, 15,563.74 and 6,564.04

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Solution

The fourth proportional to 11,280.67, 15,563.74 and 6,564.04 is: 9,056.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280.67 : 15,563.74 = 6,564.04 : x
  2. Step 2: Convert to fraction form
    11,280.67/15,563.74 = 6,564.04/x
  3. Step 3: Cross multiply
    11,280.67x = 15,563.74 × 6,564.04
  4. Step 4: Simplify right side
    11,280.67x = 102,161,011.91
  5. Step 5: Solve for x
    x = 102,161,011.91/11,280.67
  6. Step 6: Final answer
    x = 9,056.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.