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Finding the Fourth Proportional to 10,479.28, 14,461.44 and 5,763.86

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Solution

The fourth proportional to 10,479.28, 14,461.44 and 5,763.86 is: 7,954.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,479.28 : 14,461.44 = 5,763.86 : x
  2. Step 2: Convert to fraction form
    10,479.28/14,461.44 = 5,763.86/x
  3. Step 3: Cross multiply
    10,479.28x = 14,461.44 × 5,763.86
  4. Step 4: Simplify right side
    10,479.28x = 83,353,715.56
  5. Step 5: Solve for x
    x = 83,353,715.56/10,479.28
  6. Step 6: Final answer
    x = 7,954.15

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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.