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Finding the Fourth Proportional to 10,402.25, 14,355.11 and 5,686.57

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Solution

The fourth proportional to 10,402.25, 14,355.11 and 5,686.57 is: 7,847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.25 : 14,355.11 = 5,686.57 : x
  2. Step 2: Convert to fraction form
    10,402.25/14,355.11 = 5,686.57/x
  3. Step 3: Cross multiply
    10,402.25x = 14,355.11 × 5,686.57
  4. Step 4: Simplify right side
    10,402.25x = 81,631,237.66
  5. Step 5: Solve for x
    x = 81,631,237.66/10,402.25
  6. Step 6: Final answer
    x = 7,847.46

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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.