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Finding the Fourth Proportional to 8,430.48, 11,633.76 and 4,894.56

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Solution

The fourth proportional to 8,430.48, 11,633.76 and 4,894.56 is: 6,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.48 : 11,633.76 = 4,894.56 : x
  2. Step 2: Convert to fraction form
    8,430.48/11,633.76 = 4,894.56/x
  3. Step 3: Cross multiply
    8,430.48x = 11,633.76 × 4,894.56
  4. Step 4: Simplify right side
    8,430.48x = 56,942,136.35
  5. Step 5: Solve for x
    x = 56,942,136.35/8,430.48
  6. Step 6: Final answer
    x = 6,754.32

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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.