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Finding the Fourth Proportional to 13,052.53, 18,012.50 and 7,084.20

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Solution

The fourth proportional to 13,052.53, 18,012.50 and 7,084.20 is: 9,776.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,052.53 : 18,012.50 = 7,084.20 : x
  2. Step 2: Convert to fraction form
    13,052.53/18,012.50 = 7,084.20/x
  3. Step 3: Cross multiply
    13,052.53x = 18,012.50 × 7,084.20
  4. Step 4: Simplify right side
    13,052.53x = 127,604,098.38
  5. Step 5: Solve for x
    x = 127,604,098.38/13,052.53
  6. Step 6: Final answer
    x = 9,776.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.