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Finding the Fourth Proportional to 7,686.72, 11,506.56 and 4,213.44

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Solution

The fourth proportional to 7,686.72, 11,506.56 and 4,213.44 is: 6,307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.72 : 11,506.56 = 4,213.44 : x
  2. Step 2: Convert to fraction form
    7,686.72/11,506.56 = 4,213.44/x
  3. Step 3: Cross multiply
    7,686.72x = 11,506.56 × 4,213.44
  4. Step 4: Simplify right side
    7,686.72x = 48,482,200.17
  5. Step 5: Solve for x
    x = 48,482,200.17/7,686.72
  6. Step 6: Final answer
    x = 6,307.27

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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.