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Finding the Fourth Proportional to 10,479.44, 14,461.93 and 5,764.03

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Solution

The fourth proportional to 10,479.44, 14,461.93 and 5,764.03 is: 7,954.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,479.44 : 14,461.93 = 5,764.03 : x
  2. Step 2: Convert to fraction form
    10,479.44/14,461.93 = 5,764.03/x
  3. Step 3: Cross multiply
    10,479.44x = 14,461.93 × 5,764.03
  4. Step 4: Simplify right side
    10,479.44x = 83,358,998.38
  5. Step 5: Solve for x
    x = 83,358,998.38/10,479.44
  6. Step 6: Final answer
    x = 7,954.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.