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Finding the Fourth Proportional to 8,765.50, 12,096.40 and 5,233.50

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Solution

The fourth proportional to 8,765.50, 12,096.40 and 5,233.50 is: 7,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.50 : 12,096.40 = 5,233.50 : x
  2. Step 2: Convert to fraction form
    8,765.50/12,096.40 = 5,233.50/x
  3. Step 3: Cross multiply
    8,765.50x = 12,096.40 × 5,233.50
  4. Step 4: Simplify right side
    8,765.50x = 63,306,509.40
  5. Step 5: Solve for x
    x = 63,306,509.40/8,765.50
  6. Step 6: Final answer
    x = 7,222.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.