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Finding the Fourth Proportional to 10,649.60, 15,977.16 and 5,107.22

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Solution

The fourth proportional to 10,649.60, 15,977.16 and 5,107.22 is: 7,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.60 : 15,977.16 = 5,107.22 : x
  2. Step 2: Convert to fraction form
    10,649.60/15,977.16 = 5,107.22/x
  3. Step 3: Cross multiply
    10,649.60x = 15,977.16 × 5,107.22
  4. Step 4: Simplify right side
    10,649.60x = 81,598,871.10
  5. Step 5: Solve for x
    x = 81,598,871.10/10,649.60
  6. Step 6: Final answer
    x = 7,662.15

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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.