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Finding the Fourth Proportional to 10,820.71, 16,237.41 and 4,580.34

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Solution

The fourth proportional to 10,820.71, 16,237.41 and 4,580.34 is: 6,873.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.71 : 16,237.41 = 4,580.34 : x
  2. Step 2: Convert to fraction form
    10,820.71/16,237.41 = 4,580.34/x
  3. Step 3: Cross multiply
    10,820.71x = 16,237.41 × 4,580.34
  4. Step 4: Simplify right side
    10,820.71x = 74,372,858.52
  5. Step 5: Solve for x
    x = 74,372,858.52/10,820.71
  6. Step 6: Final answer
    x = 6,873.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.