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Finding the Fourth Proportional to 8,496, 11,725.20 and 4,770.72

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Solution

The fourth proportional to 8,496, 11,725.20 and 4,770.72 is: 6,584.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496 : 11,725.20 = 4,770.72 : x
  2. Step 2: Convert to fraction form
    8,496/11,725.20 = 4,770.72/x
  3. Step 3: Cross multiply
    8,496x = 11,725.20 × 4,770.72
  4. Step 4: Simplify right side
    8,496x = 55,937,646.14
  5. Step 5: Solve for x
    x = 55,937,646.14/8,496
  6. Step 6: Final answer
    x = 6,584.00

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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.