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Finding the Fourth Proportional to 12,087.65, 18,130.75 and 7,188.47

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Solution

The fourth proportional to 12,087.65, 18,130.75 and 7,188.47 is: 10,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087.65 : 18,130.75 = 7,188.47 : x
  2. Step 2: Convert to fraction form
    12,087.65/18,130.75 = 7,188.47/x
  3. Step 3: Cross multiply
    12,087.65x = 18,130.75 × 7,188.47
  4. Step 4: Simplify right side
    12,087.65x = 130,332,352.45
  5. Step 5: Solve for x
    x = 130,332,352.45/12,087.65
  6. Step 6: Final answer
    x = 10,782.27

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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.