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Finding the Fourth Proportional to 10,579.22, 15,857.42 and 4,650.84

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Solution

The fourth proportional to 10,579.22, 15,857.42 and 4,650.84 is: 6,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,579.22 : 15,857.42 = 4,650.84 : x
  2. Step 2: Convert to fraction form
    10,579.22/15,857.42 = 4,650.84/x
  3. Step 3: Cross multiply
    10,579.22x = 15,857.42 × 4,650.84
  4. Step 4: Simplify right side
    10,579.22x = 73,750,323.23
  5. Step 5: Solve for x
    x = 73,750,323.23/10,579.22
  6. Step 6: Final answer
    x = 6,971.24

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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.