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Finding the Fourth Proportional to 10,584.66, 14,606.98 and 5,805.02

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Solution

The fourth proportional to 10,584.66, 14,606.98 and 5,805.02 is: 8,011.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.66 : 14,606.98 = 5,805.02 : x
  2. Step 2: Convert to fraction form
    10,584.66/14,606.98 = 5,805.02/x
  3. Step 3: Cross multiply
    10,584.66x = 14,606.98 × 5,805.02
  4. Step 4: Simplify right side
    10,584.66x = 84,793,811.04
  5. Step 5: Solve for x
    x = 84,793,811.04/10,584.66
  6. Step 6: Final answer
    x = 8,011.01

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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.