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Finding the Fourth Proportional to 8,294.85, 11,446.70 and 4,757.84

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Solution

The fourth proportional to 8,294.85, 11,446.70 and 4,757.84 is: 6,565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.85 : 11,446.70 = 4,757.84 : x
  2. Step 2: Convert to fraction form
    8,294.85/11,446.70 = 4,757.84/x
  3. Step 3: Cross multiply
    8,294.85x = 11,446.70 × 4,757.84
  4. Step 4: Simplify right side
    8,294.85x = 54,461,486.11
  5. Step 5: Solve for x
    x = 54,461,486.11/8,294.85
  6. Step 6: Final answer
    x = 6,565.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.