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Finding the Fourth Proportional to 10,480.62, 14,457.67 and 7,958.55

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Solution

The fourth proportional to 10,480.62, 14,457.67 and 7,958.55 is: 10,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.62 : 14,457.67 = 7,958.55 : x
  2. Step 2: Convert to fraction form
    10,480.62/14,457.67 = 7,958.55/x
  3. Step 3: Cross multiply
    10,480.62x = 14,457.67 × 7,958.55
  4. Step 4: Simplify right side
    10,480.62x = 115,062,089.58
  5. Step 5: Solve for x
    x = 115,062,089.58/10,480.62
  6. Step 6: Final answer
    x = 10,978.56

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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.