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Finding the Fourth Proportional to 8,294.53, 11,446.33 and 4,709.45

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Solution

The fourth proportional to 8,294.53, 11,446.33 and 4,709.45 is: 6,498.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.53 : 11,446.33 = 4,709.45 : x
  2. Step 2: Convert to fraction form
    8,294.53/11,446.33 = 4,709.45/x
  3. Step 3: Cross multiply
    8,294.53x = 11,446.33 × 4,709.45
  4. Step 4: Simplify right side
    8,294.53x = 53,905,935.66
  5. Step 5: Solve for x
    x = 53,905,935.66/8,294.53
  6. Step 6: Final answer
    x = 6,498.98

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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.