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Finding the Fourth Proportional to 11,480, 15,839.96 and 6,762.56

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Solution

The fourth proportional to 11,480, 15,839.96 and 6,762.56 is: 9,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,480 : 15,839.96 = 6,762.56 : x
  2. Step 2: Convert to fraction form
    11,480/15,839.96 = 6,762.56/x
  3. Step 3: Cross multiply
    11,480x = 15,839.96 × 6,762.56
  4. Step 4: Simplify right side
    11,480x = 107,118,679.90
  5. Step 5: Solve for x
    x = 107,118,679.90/11,480
  6. Step 6: Final answer
    x = 9,330.90

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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.