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Finding the Fourth Proportional to 10,710.33, 14,780.44 and 5,865.49

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Solution

The fourth proportional to 10,710.33, 14,780.44 and 5,865.49 is: 8,094.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.33 : 14,780.44 = 5,865.49 : x
  2. Step 2: Convert to fraction form
    10,710.33/14,780.44 = 5,865.49/x
  3. Step 3: Cross multiply
    10,710.33x = 14,780.44 × 5,865.49
  4. Step 4: Simplify right side
    10,710.33x = 86,694,434.45
  5. Step 5: Solve for x
    x = 86,694,434.45/10,710.33
  6. Step 6: Final answer
    x = 8,094.47

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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.