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Finding the Fourth Proportional to 10,580.28, 14,600.75 and 5,800.25

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Solution

The fourth proportional to 10,580.28, 14,600.75 and 5,800.25 is: 8,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.28 : 14,600.75 = 5,800.25 : x
  2. Step 2: Convert to fraction form
    10,580.28/14,600.75 = 5,800.25/x
  3. Step 3: Cross multiply
    10,580.28x = 14,600.75 × 5,800.25
  4. Step 4: Simplify right side
    10,580.28x = 84,687,971.19
  5. Step 5: Solve for x
    x = 84,687,971.19/10,580.28
  6. Step 6: Final answer
    x = 8,004.32

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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.