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Finding the Fourth Proportional to 12,783.87, 19,176.35 and 5,762.61

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Solution

The fourth proportional to 12,783.87, 19,176.35 and 5,762.61 is: 8,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.87 : 19,176.35 = 5,762.61 : x
  2. Step 2: Convert to fraction form
    12,783.87/19,176.35 = 5,762.61/x
  3. Step 3: Cross multiply
    12,783.87x = 19,176.35 × 5,762.61
  4. Step 4: Simplify right side
    12,783.87x = 110,505,797.46
  5. Step 5: Solve for x
    x = 110,505,797.46/12,783.87
  6. Step 6: Final answer
    x = 8,644.16

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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.