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Finding the Fourth Proportional to 11,577.61, 15,977.39 and 7,098.76

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Solution

The fourth proportional to 11,577.61, 15,977.39 and 7,098.76 is: 9,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.61 : 15,977.39 = 7,098.76 : x
  2. Step 2: Convert to fraction form
    11,577.61/15,977.39 = 7,098.76/x
  3. Step 3: Cross multiply
    11,577.61x = 15,977.39 × 7,098.76
  4. Step 4: Simplify right side
    11,577.61x = 113,419,541.66
  5. Step 5: Solve for x
    x = 113,419,541.66/11,577.61
  6. Step 6: Final answer
    x = 9,796.46

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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.