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Finding the Fourth Proportional to 10,527.80, 15,783.60 and 5,910.80

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Solution

The fourth proportional to 10,527.80, 15,783.60 and 5,910.80 is: 8,861.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.80 : 15,783.60 = 5,910.80 : x
  2. Step 2: Convert to fraction form
    10,527.80/15,783.60 = 5,910.80/x
  3. Step 3: Cross multiply
    10,527.80x = 15,783.60 × 5,910.80
  4. Step 4: Simplify right side
    10,527.80x = 93,293,702.88
  5. Step 5: Solve for x
    x = 93,293,702.88/10,527.80
  6. Step 6: Final answer
    x = 8,861.65

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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.