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Finding the Fourth Proportional to 7,689.64, 11,543.82 and 4,405.36

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Solution

The fourth proportional to 7,689.64, 11,543.82 and 4,405.36 is: 6,613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.64 : 11,543.82 = 4,405.36 : x
  2. Step 2: Convert to fraction form
    7,689.64/11,543.82 = 4,405.36/x
  3. Step 3: Cross multiply
    7,689.64x = 11,543.82 × 4,405.36
  4. Step 4: Simplify right side
    7,689.64x = 50,854,682.88
  5. Step 5: Solve for x
    x = 50,854,682.88/7,689.64
  6. Step 6: Final answer
    x = 6,613.40

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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.