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Finding the Fourth Proportional to 10,457.12, 14,432.28 and 6,479.36

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Solution

The fourth proportional to 10,457.12, 14,432.28 and 6,479.36 is: 8,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.12 : 14,432.28 = 6,479.36 : x
  2. Step 2: Convert to fraction form
    10,457.12/14,432.28 = 6,479.36/x
  3. Step 3: Cross multiply
    10,457.12x = 14,432.28 × 6,479.36
  4. Step 4: Simplify right side
    10,457.12x = 93,511,937.74
  5. Step 5: Solve for x
    x = 93,511,937.74/10,457.12
  6. Step 6: Final answer
    x = 8,942.42

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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.