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Finding the Fourth Proportional to 8,884.08, 12,257.73 and 5,346

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Solution

The fourth proportional to 8,884.08, 12,257.73 and 5,346 is: 7,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,884.08 : 12,257.73 = 5,346 : x
  2. Step 2: Convert to fraction form
    8,884.08/12,257.73 = 5,346/x
  3. Step 3: Cross multiply
    8,884.08x = 12,257.73 × 5,346
  4. Step 4: Simplify right side
    8,884.08x = 65,529,824.58
  5. Step 5: Solve for x
    x = 65,529,824.58/8,884.08
  6. Step 6: Final answer
    x = 7,376.10

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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.