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Finding the Fourth Proportional to 8,509.19, 11,740.94 and 4,971.71

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Solution

The fourth proportional to 8,509.19, 11,740.94 and 4,971.71 is: 6,859.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.19 : 11,740.94 = 4,971.71 : x
  2. Step 2: Convert to fraction form
    8,509.19/11,740.94 = 4,971.71/x
  3. Step 3: Cross multiply
    8,509.19x = 11,740.94 × 4,971.71
  4. Step 4: Simplify right side
    8,509.19x = 58,372,605.27
  5. Step 5: Solve for x
    x = 58,372,605.27/8,509.19
  6. Step 6: Final answer
    x = 6,859.95

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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.