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Finding the Fourth Proportional to 10,479.76, 14,462.44 and 5,764.40

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Solution

The fourth proportional to 10,479.76, 14,462.44 and 5,764.40 is: 7,955.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,479.76 : 14,462.44 = 5,764.40 : x
  2. Step 2: Convert to fraction form
    10,479.76/14,462.44 = 5,764.40/x
  3. Step 3: Cross multiply
    10,479.76x = 14,462.44 × 5,764.40
  4. Step 4: Simplify right side
    10,479.76x = 83,367,289.14
  5. Step 5: Solve for x
    x = 83,367,289.14/10,479.76
  6. Step 6: Final answer
    x = 7,955.08

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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.