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Finding the Fourth Proportional to 12,767.27, 19,133.10 and 4,861.26

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Solution

The fourth proportional to 12,767.27, 19,133.10 and 4,861.26 is: 7,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.27 : 19,133.10 = 4,861.26 : x
  2. Step 2: Convert to fraction form
    12,767.27/19,133.10 = 4,861.26/x
  3. Step 3: Cross multiply
    12,767.27x = 19,133.10 × 4,861.26
  4. Step 4: Simplify right side
    12,767.27x = 93,010,973.71
  5. Step 5: Solve for x
    x = 93,010,973.71/12,767.27
  6. Step 6: Final answer
    x = 7,285.11

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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.