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Finding the Fourth Proportional to 7,806.34, 11,710.74 and 2,540.11

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Solution

The fourth proportional to 7,806.34, 11,710.74 and 2,540.11 is: 3,810.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.34 : 11,710.74 = 2,540.11 : x
  2. Step 2: Convert to fraction form
    7,806.34/11,710.74 = 2,540.11/x
  3. Step 3: Cross multiply
    7,806.34x = 11,710.74 × 2,540.11
  4. Step 4: Simplify right side
    7,806.34x = 29,746,567.78
  5. Step 5: Solve for x
    x = 29,746,567.78/7,806.34
  6. Step 6: Final answer
    x = 3,810.57

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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.