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Finding the Fourth Proportional to 12,577.28, 17,352.86 and 7,539.66

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Solution

The fourth proportional to 12,577.28, 17,352.86 and 7,539.66 is: 10,402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.28 : 17,352.86 = 7,539.66 : x
  2. Step 2: Convert to fraction form
    12,577.28/17,352.86 = 7,539.66/x
  3. Step 3: Cross multiply
    12,577.28x = 17,352.86 × 7,539.66
  4. Step 4: Simplify right side
    12,577.28x = 130,834,734.21
  5. Step 5: Solve for x
    x = 130,834,734.21/12,577.28
  6. Step 6: Final answer
    x = 10,402.46

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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.