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Finding the Fourth Proportional to 10,152.78, 14,010.39 and 5,676.78

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Solution

The fourth proportional to 10,152.78, 14,010.39 and 5,676.78 is: 7,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.78 : 14,010.39 = 5,676.78 : x
  2. Step 2: Convert to fraction form
    10,152.78/14,010.39 = 5,676.78/x
  3. Step 3: Cross multiply
    10,152.78x = 14,010.39 × 5,676.78
  4. Step 4: Simplify right side
    10,152.78x = 79,533,901.74
  5. Step 5: Solve for x
    x = 79,533,901.74/10,152.78
  6. Step 6: Final answer
    x = 7,833.71

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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.