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Finding the Fourth Proportional to 10,713.33, 14,782.50 and 6,463.26

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Solution

The fourth proportional to 10,713.33, 14,782.50 and 6,463.26 is: 8,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.33 : 14,782.50 = 6,463.26 : x
  2. Step 2: Convert to fraction form
    10,713.33/14,782.50 = 6,463.26/x
  3. Step 3: Cross multiply
    10,713.33x = 14,782.50 × 6,463.26
  4. Step 4: Simplify right side
    10,713.33x = 95,543,140.95
  5. Step 5: Solve for x
    x = 95,543,140.95/10,713.33
  6. Step 6: Final answer
    x = 8,918.16

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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.