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Finding the Fourth Proportional to 12,166.40, 18,242.62 and 4,762.19

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Solution

The fourth proportional to 12,166.40, 18,242.62 and 4,762.19 is: 7,140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.40 : 18,242.62 = 4,762.19 : x
  2. Step 2: Convert to fraction form
    12,166.40/18,242.62 = 4,762.19/x
  3. Step 3: Cross multiply
    12,166.40x = 18,242.62 × 4,762.19
  4. Step 4: Simplify right side
    12,166.40x = 86,874,856.24
  5. Step 5: Solve for x
    x = 86,874,856.24/12,166.40
  6. Step 6: Final answer
    x = 7,140.55

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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.