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Finding the Fourth Proportional to 7,118.50, 9,823.58 and 3,974.71

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Solution

The fourth proportional to 7,118.50, 9,823.58 and 3,974.71 is: 5,485.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.50 : 9,823.58 = 3,974.71 : x
  2. Step 2: Convert to fraction form
    7,118.50/9,823.58 = 3,974.71/x
  3. Step 3: Cross multiply
    7,118.50x = 9,823.58 × 3,974.71
  4. Step 4: Simplify right side
    7,118.50x = 39,045,881.66
  5. Step 5: Solve for x
    x = 39,045,881.66/7,118.50
  6. Step 6: Final answer
    x = 5,485.13

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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.