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Finding the Fourth Proportional to 10,410.13, 14,352.42 and 7,577.97

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Solution

The fourth proportional to 10,410.13, 14,352.42 and 7,577.97 is: 10,447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.13 : 14,352.42 = 7,577.97 : x
  2. Step 2: Convert to fraction form
    10,410.13/14,352.42 = 7,577.97/x
  3. Step 3: Cross multiply
    10,410.13x = 14,352.42 × 7,577.97
  4. Step 4: Simplify right side
    10,410.13x = 108,762,208.19
  5. Step 5: Solve for x
    x = 108,762,208.19/10,410.13
  6. Step 6: Final answer
    x = 10,447.73

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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.