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Finding the Fourth Proportional to 10,480.30, 14,462.47 and 5,764.54

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Solution

The fourth proportional to 10,480.30, 14,462.47 and 5,764.54 is: 7,954.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.30 : 14,462.47 = 5,764.54 : x
  2. Step 2: Convert to fraction form
    10,480.30/14,462.47 = 5,764.54/x
  3. Step 3: Cross multiply
    10,480.30x = 14,462.47 × 5,764.54
  4. Step 4: Simplify right side
    10,480.30x = 83,369,486.81
  5. Step 5: Solve for x
    x = 83,369,486.81/10,480.30
  6. Step 6: Final answer
    x = 7,954.88

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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.