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Finding the Fourth Proportional to 8,979.84, 12,403.80 and 7,733.52

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Solution

The fourth proportional to 8,979.84, 12,403.80 and 7,733.52 is: 10,682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,979.84 : 12,403.80 = 7,733.52 : x
  2. Step 2: Convert to fraction form
    8,979.84/12,403.80 = 7,733.52/x
  3. Step 3: Cross multiply
    8,979.84x = 12,403.80 × 7,733.52
  4. Step 4: Simplify right side
    8,979.84x = 95,925,035.38
  5. Step 5: Solve for x
    x = 95,925,035.38/8,979.84
  6. Step 6: Final answer
    x = 10,682.27

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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.