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Finding the Fourth Proportional to 10,402.19, 14,355.03 and 5,686.47

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Solution

The fourth proportional to 10,402.19, 14,355.03 and 5,686.47 is: 7,847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.19 : 14,355.03 = 5,686.47 : x
  2. Step 2: Convert to fraction form
    10,402.19/14,355.03 = 5,686.47/x
  3. Step 3: Cross multiply
    10,402.19x = 14,355.03 × 5,686.47
  4. Step 4: Simplify right side
    10,402.19x = 81,629,447.44
  5. Step 5: Solve for x
    x = 81,629,447.44/10,402.19
  6. Step 6: Final answer
    x = 7,847.34

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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.