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Finding the Fourth Proportional to 11,539.31, 15,926.32 and 11,013.42

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Solution

The fourth proportional to 11,539.31, 15,926.32 and 11,013.42 is: 15,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.31 : 15,926.32 = 11,013.42 : x
  2. Step 2: Convert to fraction form
    11,539.31/15,926.32 = 11,013.42/x
  3. Step 3: Cross multiply
    11,539.31x = 15,926.32 × 11,013.42
  4. Step 4: Simplify right side
    11,539.31x = 175,403,235.12
  5. Step 5: Solve for x
    x = 175,403,235.12/11,539.31
  6. Step 6: Final answer
    x = 15,200.50

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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.