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Finding the Fourth Proportional to 10,488.32, 14,468 and 6,295.68

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Solution

The fourth proportional to 10,488.32, 14,468 and 6,295.68 is: 8,684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.32 : 14,468 = 6,295.68 : x
  2. Step 2: Convert to fraction form
    10,488.32/14,468 = 6,295.68/x
  3. Step 3: Cross multiply
    10,488.32x = 14,468 × 6,295.68
  4. Step 4: Simplify right side
    10,488.32x = 91,085,898.24
  5. Step 5: Solve for x
    x = 91,085,898.24/10,488.32
  6. Step 6: Final answer
    x = 8,684.51

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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.