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Finding the Fourth Proportional to 10,529.57, 15,782.05 and 5,848.49

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Solution

The fourth proportional to 10,529.57, 15,782.05 and 5,848.49 is: 8,765.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.57 : 15,782.05 = 5,848.49 : x
  2. Step 2: Convert to fraction form
    10,529.57/15,782.05 = 5,848.49/x
  3. Step 3: Cross multiply
    10,529.57x = 15,782.05 × 5,848.49
  4. Step 4: Simplify right side
    10,529.57x = 92,301,161.60
  5. Step 5: Solve for x
    x = 92,301,161.60/10,529.57
  6. Step 6: Final answer
    x = 8,765.90

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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.