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Finding the Fourth Proportional to 10,584.60, 15,872.10 and 4,008.60

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Solution

The fourth proportional to 10,584.60, 15,872.10 and 4,008.60 is: 6,011.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.60 : 15,872.10 = 4,008.60 : x
  2. Step 2: Convert to fraction form
    10,584.60/15,872.10 = 4,008.60/x
  3. Step 3: Cross multiply
    10,584.60x = 15,872.10 × 4,008.60
  4. Step 4: Simplify right side
    10,584.60x = 63,624,900.06
  5. Step 5: Solve for x
    x = 63,624,900.06/10,584.60
  6. Step 6: Final answer
    x = 6,011.08

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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.