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Finding the Fourth Proportional to 10,493.64, 14,480.74 and 5,777.84

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Solution

The fourth proportional to 10,493.64, 14,480.74 and 5,777.84 is: 7,973.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.64 : 14,480.74 = 5,777.84 : x
  2. Step 2: Convert to fraction form
    10,493.64/14,480.74 = 5,777.84/x
  3. Step 3: Cross multiply
    10,493.64x = 14,480.74 × 5,777.84
  4. Step 4: Simplify right side
    10,493.64x = 83,667,398.80
  5. Step 5: Solve for x
    x = 83,667,398.80/10,493.64
  6. Step 6: Final answer
    x = 7,973.15

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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.