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Finding the Fourth Proportional to 10,648.01, 14,694.63 and 5,932.58

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Solution

The fourth proportional to 10,648.01, 14,694.63 and 5,932.58 is: 8,187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.01 : 14,694.63 = 5,932.58 : x
  2. Step 2: Convert to fraction form
    10,648.01/14,694.63 = 5,932.58/x
  3. Step 3: Cross multiply
    10,648.01x = 14,694.63 × 5,932.58
  4. Step 4: Simplify right side
    10,648.01x = 87,177,068.05
  5. Step 5: Solve for x
    x = 87,177,068.05/10,648.01
  6. Step 6: Final answer
    x = 8,187.17

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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.