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Finding the Fourth Proportional to 7,700.11, 11,542.09 and 4,364.20

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Solution

The fourth proportional to 7,700.11, 11,542.09 and 4,364.20 is: 6,541.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.11 : 11,542.09 = 4,364.20 : x
  2. Step 2: Convert to fraction form
    7,700.11/11,542.09 = 4,364.20/x
  3. Step 3: Cross multiply
    7,700.11x = 11,542.09 × 4,364.20
  4. Step 4: Simplify right side
    7,700.11x = 50,371,989.18
  5. Step 5: Solve for x
    x = 50,371,989.18/7,700.11
  6. Step 6: Final answer
    x = 6,541.72

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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.