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Finding the Fourth Proportional to 10,152.56, 13,984.51 and 7,163.16

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Solution

The fourth proportional to 10,152.56, 13,984.51 and 7,163.16 is: 9,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.56 : 13,984.51 = 7,163.16 : x
  2. Step 2: Convert to fraction form
    10,152.56/13,984.51 = 7,163.16/x
  3. Step 3: Cross multiply
    10,152.56x = 13,984.51 × 7,163.16
  4. Step 4: Simplify right side
    10,152.56x = 100,173,282.65
  5. Step 5: Solve for x
    x = 100,173,282.65/10,152.56
  6. Step 6: Final answer
    x = 9,866.80

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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.