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Finding the Fourth Proportional to 7,841.21, 11,763.88 and 4,551.14

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Solution

The fourth proportional to 7,841.21, 11,763.88 and 4,551.14 is: 6,827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.21 : 11,763.88 = 4,551.14 : x
  2. Step 2: Convert to fraction form
    7,841.21/11,763.88 = 4,551.14/x
  3. Step 3: Cross multiply
    7,841.21x = 11,763.88 × 4,551.14
  4. Step 4: Simplify right side
    7,841.21x = 53,539,082.86
  5. Step 5: Solve for x
    x = 53,539,082.86/7,841.21
  6. Step 6: Final answer
    x = 6,827.92

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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.