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Finding the Fourth Proportional to 10,424.50, 14,385.81 and 5,708.96

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Solution

The fourth proportional to 10,424.50, 14,385.81 and 5,708.96 is: 7,878.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.50 : 14,385.81 = 5,708.96 : x
  2. Step 2: Convert to fraction form
    10,424.50/14,385.81 = 5,708.96/x
  3. Step 3: Cross multiply
    10,424.50x = 14,385.81 × 5,708.96
  4. Step 4: Simplify right side
    10,424.50x = 82,128,013.86
  5. Step 5: Solve for x
    x = 82,128,013.86/10,424.50
  6. Step 6: Final answer
    x = 7,878.36

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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.