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Finding the Fourth Proportional to 7,673.85, 11,504.70 and 4,211.10

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Solution

The fourth proportional to 7,673.85, 11,504.70 and 4,211.10 is: 6,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.85 : 11,504.70 = 4,211.10 : x
  2. Step 2: Convert to fraction form
    7,673.85/11,504.70 = 4,211.10/x
  3. Step 3: Cross multiply
    7,673.85x = 11,504.70 × 4,211.10
  4. Step 4: Simplify right side
    7,673.85x = 48,447,442.17
  5. Step 5: Solve for x
    x = 48,447,442.17/7,673.85
  6. Step 6: Final answer
    x = 6,313.32

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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.