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Finding the Fourth Proportional to 7,646.86, 11,467.53 and 2,647.88

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Solution

The fourth proportional to 7,646.86, 11,467.53 and 2,647.88 is: 3,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.86 : 11,467.53 = 2,647.88 : x
  2. Step 2: Convert to fraction form
    7,646.86/11,467.53 = 2,647.88/x
  3. Step 3: Cross multiply
    7,646.86x = 11,467.53 × 2,647.88
  4. Step 4: Simplify right side
    7,646.86x = 30,364,639.16
  5. Step 5: Solve for x
    x = 30,364,639.16/7,646.86
  6. Step 6: Final answer
    x = 3,970.86

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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.