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Finding the Fourth Proportional to 7,711.78, 11,557.32 and 4,006.30

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Solution

The fourth proportional to 7,711.78, 11,557.32 and 4,006.30 is: 6,004.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.78 : 11,557.32 = 4,006.30 : x
  2. Step 2: Convert to fraction form
    7,711.78/11,557.32 = 4,006.30/x
  3. Step 3: Cross multiply
    7,711.78x = 11,557.32 × 4,006.30
  4. Step 4: Simplify right side
    7,711.78x = 46,302,091.12
  5. Step 5: Solve for x
    x = 46,302,091.12/7,711.78
  6. Step 6: Final answer
    x = 6,004.07

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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.