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Finding the Fourth Proportional to 13,740.57, 18,962.00 and 7,772.11

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Solution

The fourth proportional to 13,740.57, 18,962.00 and 7,772.11 is: 10,725.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740.57 : 18,962.00 = 7,772.11 : x
  2. Step 2: Convert to fraction form
    13,740.57/18,962.00 = 7,772.11/x
  3. Step 3: Cross multiply
    13,740.57x = 18,962.00 × 7,772.11
  4. Step 4: Simplify right side
    13,740.57x = 147,374,826.03
  5. Step 5: Solve for x
    x = 147,374,826.03/13,740.57
  6. Step 6: Final answer
    x = 10,725.52

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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.