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Finding the Fourth Proportional to 12,532.60, 18,783.78 and 5,860

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Solution

The fourth proportional to 12,532.60, 18,783.78 and 5,860 is: 8,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.60 : 18,783.78 = 5,860 : x
  2. Step 2: Convert to fraction form
    12,532.60/18,783.78 = 5,860/x
  3. Step 3: Cross multiply
    12,532.60x = 18,783.78 × 5,860
  4. Step 4: Simplify right side
    12,532.60x = 110,072,950.80
  5. Step 5: Solve for x
    x = 110,072,950.80/12,532.60
  6. Step 6: Final answer
    x = 8,782.93

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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.