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Finding the Fourth Proportional to 10,970.54, 15,135.71 and 6,189.82

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Solution

The fourth proportional to 10,970.54, 15,135.71 and 6,189.82 is: 8,539.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.54 : 15,135.71 = 6,189.82 : x
  2. Step 2: Convert to fraction form
    10,970.54/15,135.71 = 6,189.82/x
  3. Step 3: Cross multiply
    10,970.54x = 15,135.71 × 6,189.82
  4. Step 4: Simplify right side
    10,970.54x = 93,687,286.50
  5. Step 5: Solve for x
    x = 93,687,286.50/10,970.54
  6. Step 6: Final answer
    x = 8,539.90

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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.