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Finding the Fourth Proportional to 10,242.64, 15,358.82 and 5,969.74

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Solution

The fourth proportional to 10,242.64, 15,358.82 and 5,969.74 is: 8,951.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.64 : 15,358.82 = 5,969.74 : x
  2. Step 2: Convert to fraction form
    10,242.64/15,358.82 = 5,969.74/x
  3. Step 3: Cross multiply
    10,242.64x = 15,358.82 × 5,969.74
  4. Step 4: Simplify right side
    10,242.64x = 91,688,185.04
  5. Step 5: Solve for x
    x = 91,688,185.04/10,242.64
  6. Step 6: Final answer
    x = 8,951.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.