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Finding the Fourth Proportional to 10,130.84, 13,983.94 and 5,939

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Solution

The fourth proportional to 10,130.84, 13,983.94 and 5,939 is: 8,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.84 : 13,983.94 = 5,939 : x
  2. Step 2: Convert to fraction form
    10,130.84/13,983.94 = 5,939/x
  3. Step 3: Cross multiply
    10,130.84x = 13,983.94 × 5,939
  4. Step 4: Simplify right side
    10,130.84x = 83,050,619.66
  5. Step 5: Solve for x
    x = 83,050,619.66/10,130.84
  6. Step 6: Final answer
    x = 8,197.80

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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.