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Finding the Fourth Proportional to 7,650.42, 11,468.61 and 2,973.57

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Solution

The fourth proportional to 7,650.42, 11,468.61 and 2,973.57 is: 4,457.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.42 : 11,468.61 = 2,973.57 : x
  2. Step 2: Convert to fraction form
    7,650.42/11,468.61 = 2,973.57/x
  3. Step 3: Cross multiply
    7,650.42x = 11,468.61 × 2,973.57
  4. Step 4: Simplify right side
    7,650.42x = 34,102,714.64
  5. Step 5: Solve for x
    x = 34,102,714.64/7,650.42
  6. Step 6: Final answer
    x = 4,457.63

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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.