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Finding the Fourth Proportional to 8,743.71, 12,065.40 and 5,206.29

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Solution

The fourth proportional to 8,743.71, 12,065.40 and 5,206.29 is: 7,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,743.71 : 12,065.40 = 5,206.29 : x
  2. Step 2: Convert to fraction form
    8,743.71/12,065.40 = 5,206.29/x
  3. Step 3: Cross multiply
    8,743.71x = 12,065.40 × 5,206.29
  4. Step 4: Simplify right side
    8,743.71x = 62,815,971.37
  5. Step 5: Solve for x
    x = 62,815,971.37/8,743.71
  6. Step 6: Final answer
    x = 7,184.13

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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.