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Finding the Fourth Proportional to 10,069, 13,895.22 and 5,877.28

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Solution

The fourth proportional to 10,069, 13,895.22 and 5,877.28 is: 8,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069 : 13,895.22 = 5,877.28 : x
  2. Step 2: Convert to fraction form
    10,069/13,895.22 = 5,877.28/x
  3. Step 3: Cross multiply
    10,069x = 13,895.22 × 5,877.28
  4. Step 4: Simplify right side
    10,069x = 81,666,098.60
  5. Step 5: Solve for x
    x = 81,666,098.60/10,069
  6. Step 6: Final answer
    x = 8,110.65

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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.