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Finding the Fourth Proportional to 7,630.47, 11,444.63 and 2,082.92

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Solution

The fourth proportional to 7,630.47, 11,444.63 and 2,082.92 is: 3,124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.47 : 11,444.63 = 2,082.92 : x
  2. Step 2: Convert to fraction form
    7,630.47/11,444.63 = 2,082.92/x
  3. Step 3: Cross multiply
    7,630.47x = 11,444.63 × 2,082.92
  4. Step 4: Simplify right side
    7,630.47x = 23,838,181.08
  5. Step 5: Solve for x
    x = 23,838,181.08/7,630.47
  6. Step 6: Final answer
    x = 3,124.08

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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.