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Finding the Fourth Proportional to 10,527.80, 15,778.30 and 5,599.80

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Solution

The fourth proportional to 10,527.80, 15,778.30 and 5,599.80 is: 8,392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.80 : 15,778.30 = 5,599.80 : x
  2. Step 2: Convert to fraction form
    10,527.80/15,778.30 = 5,599.80/x
  3. Step 3: Cross multiply
    10,527.80x = 15,778.30 × 5,599.80
  4. Step 4: Simplify right side
    10,527.80x = 88,355,324.34
  5. Step 5: Solve for x
    x = 88,355,324.34/10,527.80
  6. Step 6: Final answer
    x = 8,392.57

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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.