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Finding the Fourth Proportional to 7,585.42, 11,379.12 and 2,656.48

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Solution

The fourth proportional to 7,585.42, 11,379.12 and 2,656.48 is: 3,985.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.42 : 11,379.12 = 2,656.48 : x
  2. Step 2: Convert to fraction form
    7,585.42/11,379.12 = 2,656.48/x
  3. Step 3: Cross multiply
    7,585.42x = 11,379.12 × 2,656.48
  4. Step 4: Simplify right side
    7,585.42x = 30,228,404.70
  5. Step 5: Solve for x
    x = 30,228,404.70/7,585.42
  6. Step 6: Final answer
    x = 3,985.07

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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.