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Finding the Fourth Proportional to 10,502.20, 14,488.44 and 6,308

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Solution

The fourth proportional to 10,502.20, 14,488.44 and 6,308 is: 8,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.20 : 14,488.44 = 6,308 : x
  2. Step 2: Convert to fraction form
    10,502.20/14,488.44 = 6,308/x
  3. Step 3: Cross multiply
    10,502.20x = 14,488.44 × 6,308
  4. Step 4: Simplify right side
    10,502.20x = 91,393,079.52
  5. Step 5: Solve for x
    x = 91,393,079.52/10,502.20
  6. Step 6: Final answer
    x = 8,702.28

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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.