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Finding the Fourth Proportional to 10,480.94, 14,464 and 5,765.52

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Solution

The fourth proportional to 10,480.94, 14,464 and 5,765.52 is: 7,956.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.94 : 14,464 = 5,765.52 : x
  2. Step 2: Convert to fraction form
    10,480.94/14,464 = 5,765.52/x
  3. Step 3: Cross multiply
    10,480.94x = 14,464 × 5,765.52
  4. Step 4: Simplify right side
    10,480.94x = 83,392,481.28
  5. Step 5: Solve for x
    x = 83,392,481.28/10,480.94
  6. Step 6: Final answer
    x = 7,956.58

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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.