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Finding the Fourth Proportional to 10,584.90, 14,607 and 5,869.08

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Solution

The fourth proportional to 10,584.90, 14,607 and 5,869.08 is: 8,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.90 : 14,607 = 5,869.08 : x
  2. Step 2: Convert to fraction form
    10,584.90/14,607 = 5,869.08/x
  3. Step 3: Cross multiply
    10,584.90x = 14,607 × 5,869.08
  4. Step 4: Simplify right side
    10,584.90x = 85,729,651.56
  5. Step 5: Solve for x
    x = 85,729,651.56/10,584.90
  6. Step 6: Final answer
    x = 8,099.24

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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.