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Finding the Fourth Proportional to 8,294.19, 11,447.07 and 4,756.71

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Solution

The fourth proportional to 8,294.19, 11,447.07 and 4,756.71 is: 6,564.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.19 : 11,447.07 = 4,756.71 : x
  2. Step 2: Convert to fraction form
    8,294.19/11,447.07 = 4,756.71/x
  3. Step 3: Cross multiply
    8,294.19x = 11,447.07 × 4,756.71
  4. Step 4: Simplify right side
    8,294.19x = 54,450,392.34
  5. Step 5: Solve for x
    x = 54,450,392.34/8,294.19
  6. Step 6: Final answer
    x = 6,564.88

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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.