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Finding the Fourth Proportional to 7,673.90, 11,516.54 and 5,704.11

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Solution

The fourth proportional to 7,673.90, 11,516.54 and 5,704.11 is: 8,560.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.90 : 11,516.54 = 5,704.11 : x
  2. Step 2: Convert to fraction form
    7,673.90/11,516.54 = 5,704.11/x
  3. Step 3: Cross multiply
    7,673.90x = 11,516.54 × 5,704.11
  4. Step 4: Simplify right side
    7,673.90x = 65,691,582.46
  5. Step 5: Solve for x
    x = 65,691,582.46/7,673.90
  6. Step 6: Final answer
    x = 8,560.40

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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.