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Finding the Fourth Proportional to 7,564.50, 11,349.63 and 2,947.86

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Solution

The fourth proportional to 7,564.50, 11,349.63 and 2,947.86 is: 4,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.50 : 11,349.63 = 2,947.86 : x
  2. Step 2: Convert to fraction form
    7,564.50/11,349.63 = 2,947.86/x
  3. Step 3: Cross multiply
    7,564.50x = 11,349.63 × 2,947.86
  4. Step 4: Simplify right side
    7,564.50x = 33,457,120.29
  5. Step 5: Solve for x
    x = 33,457,120.29/7,564.50
  6. Step 6: Final answer
    x = 4,422.91

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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.