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Finding the Fourth Proportional to 7,746.98, 11,613.44 and 3,585.88

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Solution

The fourth proportional to 7,746.98, 11,613.44 and 3,585.88 is: 5,375.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.98 : 11,613.44 = 3,585.88 : x
  2. Step 2: Convert to fraction form
    7,746.98/11,613.44 = 3,585.88/x
  3. Step 3: Cross multiply
    7,746.98x = 11,613.44 × 3,585.88
  4. Step 4: Simplify right side
    7,746.98x = 41,644,402.23
  5. Step 5: Solve for x
    x = 41,644,402.23/7,746.98
  6. Step 6: Final answer
    x = 5,375.57

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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.