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Finding the Fourth Proportional to 11,285.46, 15,568.80 and 6,567

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Solution

The fourth proportional to 11,285.46, 15,568.80 and 6,567 is: 9,059.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,285.46 : 15,568.80 = 6,567 : x
  2. Step 2: Convert to fraction form
    11,285.46/15,568.80 = 6,567/x
  3. Step 3: Cross multiply
    11,285.46x = 15,568.80 × 6,567
  4. Step 4: Simplify right side
    11,285.46x = 102,240,309.60
  5. Step 5: Solve for x
    x = 102,240,309.60/11,285.46
  6. Step 6: Final answer
    x = 9,059.47

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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.