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Finding the Fourth Proportional to 8,174.94, 12,242.25 and 4,701.66

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Solution

The fourth proportional to 8,174.94, 12,242.25 and 4,701.66 is: 7,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.94 : 12,242.25 = 4,701.66 : x
  2. Step 2: Convert to fraction form
    8,174.94/12,242.25 = 4,701.66/x
  3. Step 3: Cross multiply
    8,174.94x = 12,242.25 × 4,701.66
  4. Step 4: Simplify right side
    8,174.94x = 57,558,897.14
  5. Step 5: Solve for x
    x = 57,558,897.14/8,174.94
  6. Step 6: Final answer
    x = 7,040.90

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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.