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Finding the Fourth Proportional to 7,693.10, 11,561.30 and 4,573.67

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Solution

The fourth proportional to 7,693.10, 11,561.30 and 4,573.67 is: 6,873.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.10 : 11,561.30 = 4,573.67 : x
  2. Step 2: Convert to fraction form
    7,693.10/11,561.30 = 4,573.67/x
  3. Step 3: Cross multiply
    7,693.10x = 11,561.30 × 4,573.67
  4. Step 4: Simplify right side
    7,693.10x = 52,877,524.60
  5. Step 5: Solve for x
    x = 52,877,524.60/7,693.10
  6. Step 6: Final answer
    x = 6,873.37

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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.