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Finding the Fourth Proportional to 8,502.48, 11,733.36 and 4,776.48

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Solution

The fourth proportional to 8,502.48, 11,733.36 and 4,776.48 is: 6,591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.48 : 11,733.36 = 4,776.48 : x
  2. Step 2: Convert to fraction form
    8,502.48/11,733.36 = 4,776.48/x
  3. Step 3: Cross multiply
    8,502.48x = 11,733.36 × 4,776.48
  4. Step 4: Simplify right side
    8,502.48x = 56,044,159.37
  5. Step 5: Solve for x
    x = 56,044,159.37/8,502.48
  6. Step 6: Final answer
    x = 6,591.51

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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.