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Finding the Fourth Proportional to 10,133.15, 15,163.28 and 6,852.65

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Solution

The fourth proportional to 10,133.15, 15,163.28 and 6,852.65 is: 10,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.15 : 15,163.28 = 6,852.65 : x
  2. Step 2: Convert to fraction form
    10,133.15/15,163.28 = 6,852.65/x
  3. Step 3: Cross multiply
    10,133.15x = 15,163.28 × 6,852.65
  4. Step 4: Simplify right side
    10,133.15x = 103,908,616.43
  5. Step 5: Solve for x
    x = 103,908,616.43/10,133.15
  6. Step 6: Final answer
    x = 10,254.33

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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.