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Finding the Fourth Proportional to 10,563.60, 15,859.80 and 8,374.80

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Solution

The fourth proportional to 10,563.60, 15,859.80 and 8,374.80 is: 12,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.60 : 15,859.80 = 8,374.80 : x
  2. Step 2: Convert to fraction form
    10,563.60/15,859.80 = 8,374.80/x
  3. Step 3: Cross multiply
    10,563.60x = 15,859.80 × 8,374.80
  4. Step 4: Simplify right side
    10,563.60x = 132,822,653.04
  5. Step 5: Solve for x
    x = 132,822,653.04/10,563.60
  6. Step 6: Final answer
    x = 12,573.62

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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.