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Finding the Fourth Proportional to 8,164.71, 11,257.67 and 7,559.45

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Solution

The fourth proportional to 8,164.71, 11,257.67 and 7,559.45 is: 10,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.71 : 11,257.67 = 7,559.45 : x
  2. Step 2: Convert to fraction form
    8,164.71/11,257.67 = 7,559.45/x
  3. Step 3: Cross multiply
    8,164.71x = 11,257.67 × 7,559.45
  4. Step 4: Simplify right side
    8,164.71x = 85,101,699.40
  5. Step 5: Solve for x
    x = 85,101,699.40/8,164.71
  6. Step 6: Final answer
    x = 10,423.11

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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.