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Finding the Fourth Proportional to 8,406.05, 11,605.35 and 7,471.85

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Solution

The fourth proportional to 8,406.05, 11,605.35 and 7,471.85 is: 10,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.05 : 11,605.35 = 7,471.85 : x
  2. Step 2: Convert to fraction form
    8,406.05/11,605.35 = 7,471.85/x
  3. Step 3: Cross multiply
    8,406.05x = 11,605.35 × 7,471.85
  4. Step 4: Simplify right side
    8,406.05x = 86,713,434.40
  5. Step 5: Solve for x
    x = 86,713,434.40/8,406.05
  6. Step 6: Final answer
    x = 10,315.60

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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.