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Finding the Fourth Proportional to 10,971.60, 15,141.18 and 6,191.49

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Solution

The fourth proportional to 10,971.60, 15,141.18 and 6,191.49 is: 8,544.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.60 : 15,141.18 = 6,191.49 : x
  2. Step 2: Convert to fraction form
    10,971.60/15,141.18 = 6,191.49/x
  3. Step 3: Cross multiply
    10,971.60x = 15,141.18 × 6,191.49
  4. Step 4: Simplify right side
    10,971.60x = 93,746,464.56
  5. Step 5: Solve for x
    x = 93,746,464.56/10,971.60
  6. Step 6: Final answer
    x = 8,544.47

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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.