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Finding the Fourth Proportional to 8,488.64, 12,723.24 and 4,596.32

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Solution

The fourth proportional to 8,488.64, 12,723.24 and 4,596.32 is: 6,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.64 : 12,723.24 = 4,596.32 : x
  2. Step 2: Convert to fraction form
    8,488.64/12,723.24 = 4,596.32/x
  3. Step 3: Cross multiply
    8,488.64x = 12,723.24 × 4,596.32
  4. Step 4: Simplify right side
    8,488.64x = 58,480,082.48
  5. Step 5: Solve for x
    x = 58,480,082.48/8,488.64
  6. Step 6: Final answer
    x = 6,889.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.