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Finding the Fourth Proportional to 10,648.33, 14,696.45 and 5,934.13

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Solution

The fourth proportional to 10,648.33, 14,696.45 and 5,934.13 is: 8,190.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.33 : 14,696.45 = 5,934.13 : x
  2. Step 2: Convert to fraction form
    10,648.33/14,696.45 = 5,934.13/x
  3. Step 3: Cross multiply
    10,648.33x = 14,696.45 × 5,934.13
  4. Step 4: Simplify right side
    10,648.33x = 87,210,644.84
  5. Step 5: Solve for x
    x = 87,210,644.84/10,648.33
  6. Step 6: Final answer
    x = 8,190.08

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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.