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Finding the Fourth Proportional to 8,294.58, 11,446.75 and 4,709.46

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Solution

The fourth proportional to 8,294.58, 11,446.75 and 4,709.46 is: 6,499.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.58 : 11,446.75 = 4,709.46 : x
  2. Step 2: Convert to fraction form
    8,294.58/11,446.75 = 4,709.46/x
  3. Step 3: Cross multiply
    8,294.58x = 11,446.75 × 4,709.46
  4. Step 4: Simplify right side
    8,294.58x = 53,908,011.26
  5. Step 5: Solve for x
    x = 53,908,011.26/8,294.58
  6. Step 6: Final answer
    x = 6,499.19

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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.