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Finding the Fourth Proportional to 8,242.50, 11,374.65 and 4,930.50

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Solution

The fourth proportional to 8,242.50, 11,374.65 and 4,930.50 is: 6,804.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.50 : 11,374.65 = 4,930.50 : x
  2. Step 2: Convert to fraction form
    8,242.50/11,374.65 = 4,930.50/x
  3. Step 3: Cross multiply
    8,242.50x = 11,374.65 × 4,930.50
  4. Step 4: Simplify right side
    8,242.50x = 56,082,711.83
  5. Step 5: Solve for x
    x = 56,082,711.83/8,242.50
  6. Step 6: Final answer
    x = 6,804.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.