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Finding the Fourth Proportional to 7,830.96, 11,753.12 and 4,135.88

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Solution

The fourth proportional to 7,830.96, 11,753.12 and 4,135.88 is: 6,207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.96 : 11,753.12 = 4,135.88 : x
  2. Step 2: Convert to fraction form
    7,830.96/11,753.12 = 4,135.88/x
  3. Step 3: Cross multiply
    7,830.96x = 11,753.12 × 4,135.88
  4. Step 4: Simplify right side
    7,830.96x = 48,609,493.95
  5. Step 5: Solve for x
    x = 48,609,493.95/7,830.96
  6. Step 6: Final answer
    x = 6,207.35

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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.