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Finding the Fourth Proportional to 8,427.32, 11,630.22 and 4,701.32

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Solution

The fourth proportional to 8,427.32, 11,630.22 and 4,701.32 is: 6,488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.32 : 11,630.22 = 4,701.32 : x
  2. Step 2: Convert to fraction form
    8,427.32/11,630.22 = 4,701.32/x
  3. Step 3: Cross multiply
    8,427.32x = 11,630.22 × 4,701.32
  4. Step 4: Simplify right side
    8,427.32x = 54,677,385.89
  5. Step 5: Solve for x
    x = 54,677,385.89/8,427.32
  6. Step 6: Final answer
    x = 6,488.11

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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.