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Finding the Fourth Proportional to 10,488.33, 14,473.75 and 5,951.84

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Solution

The fourth proportional to 10,488.33, 14,473.75 and 5,951.84 is: 8,213.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.33 : 14,473.75 = 5,951.84 : x
  2. Step 2: Convert to fraction form
    10,488.33/14,473.75 = 5,951.84/x
  3. Step 3: Cross multiply
    10,488.33x = 14,473.75 × 5,951.84
  4. Step 4: Simplify right side
    10,488.33x = 86,145,444.20
  5. Step 5: Solve for x
    x = 86,145,444.20/10,488.33
  6. Step 6: Final answer
    x = 8,213.46

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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.