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Finding the Fourth Proportional to 8,220.32, 11,348.64 and 5,430.68

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Solution

The fourth proportional to 8,220.32, 11,348.64 and 5,430.68 is: 7,497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.32 : 11,348.64 = 5,430.68 : x
  2. Step 2: Convert to fraction form
    8,220.32/11,348.64 = 5,430.68/x
  3. Step 3: Cross multiply
    8,220.32x = 11,348.64 × 5,430.68
  4. Step 4: Simplify right side
    8,220.32x = 61,630,832.28
  5. Step 5: Solve for x
    x = 61,630,832.28/8,220.32
  6. Step 6: Final answer
    x = 7,497.38

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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.