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Finding the Fourth Proportional to 7,676.68, 10,594.16 and 4,532.88

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Solution

The fourth proportional to 7,676.68, 10,594.16 and 4,532.88 is: 6,255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.68 : 10,594.16 = 4,532.88 : x
  2. Step 2: Convert to fraction form
    7,676.68/10,594.16 = 4,532.88/x
  3. Step 3: Cross multiply
    7,676.68x = 10,594.16 × 4,532.88
  4. Step 4: Simplify right side
    7,676.68x = 48,022,055.98
  5. Step 5: Solve for x
    x = 48,022,055.98/7,676.68
  6. Step 6: Final answer
    x = 6,255.58

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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.