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Finding the Fourth Proportional to 7,616.76, 11,431.62 and 3,003

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Solution

The fourth proportional to 7,616.76, 11,431.62 and 3,003 is: 4,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.76 : 11,431.62 = 3,003 : x
  2. Step 2: Convert to fraction form
    7,616.76/11,431.62 = 3,003/x
  3. Step 3: Cross multiply
    7,616.76x = 11,431.62 × 3,003
  4. Step 4: Simplify right side
    7,616.76x = 34,329,154.86
  5. Step 5: Solve for x
    x = 34,329,154.86/7,616.76
  6. Step 6: Final answer
    x = 4,507.05

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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.