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Finding the Fourth Proportional to 8,562.48, 12,814.53 and 7,177.38

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Solution

The fourth proportional to 8,562.48, 12,814.53 and 7,177.38 is: 10,741.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.48 : 12,814.53 = 7,177.38 : x
  2. Step 2: Convert to fraction form
    8,562.48/12,814.53 = 7,177.38/x
  3. Step 3: Cross multiply
    8,562.48x = 12,814.53 × 7,177.38
  4. Step 4: Simplify right side
    8,562.48x = 91,974,751.33
  5. Step 5: Solve for x
    x = 91,974,751.33/8,562.48
  6. Step 6: Final answer
    x = 10,741.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.