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Finding the Fourth Proportional to 8,492.93, 12,733.58 and 4,324.87

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Solution

The fourth proportional to 8,492.93, 12,733.58 and 4,324.87 is: 6,484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.93 : 12,733.58 = 4,324.87 : x
  2. Step 2: Convert to fraction form
    8,492.93/12,733.58 = 4,324.87/x
  3. Step 3: Cross multiply
    8,492.93x = 12,733.58 × 4,324.87
  4. Step 4: Simplify right side
    8,492.93x = 55,071,078.13
  5. Step 5: Solve for x
    x = 55,071,078.13/8,492.93
  6. Step 6: Final answer
    x = 6,484.34

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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.