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Finding the Fourth Proportional to 10,415.24, 14,352.18 and 7,577.96

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Solution

The fourth proportional to 10,415.24, 14,352.18 and 7,577.96 is: 10,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.24 : 14,352.18 = 7,577.96 : x
  2. Step 2: Convert to fraction form
    10,415.24/14,352.18 = 7,577.96/x
  3. Step 3: Cross multiply
    10,415.24x = 14,352.18 × 7,577.96
  4. Step 4: Simplify right side
    10,415.24x = 108,760,245.95
  5. Step 5: Solve for x
    x = 108,760,245.95/10,415.24
  6. Step 6: Final answer
    x = 10,442.41

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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.