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Finding the Fourth Proportional to 10,128.94, 15,207.54 and 5,201.98

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Solution

The fourth proportional to 10,128.94, 15,207.54 and 5,201.98 is: 7,810.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,128.94 : 15,207.54 = 5,201.98 : x
  2. Step 2: Convert to fraction form
    10,128.94/15,207.54 = 5,201.98/x
  3. Step 3: Cross multiply
    10,128.94x = 15,207.54 × 5,201.98
  4. Step 4: Simplify right side
    10,128.94x = 79,109,318.93
  5. Step 5: Solve for x
    x = 79,109,318.93/10,128.94
  6. Step 6: Final answer
    x = 7,810.23

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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.