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Finding the Fourth Proportional to 10,509.58, 15,764.42 and 3,114.18

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Solution

The fourth proportional to 10,509.58, 15,764.42 and 3,114.18 is: 4,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.58 : 15,764.42 = 3,114.18 : x
  2. Step 2: Convert to fraction form
    10,509.58/15,764.42 = 3,114.18/x
  3. Step 3: Cross multiply
    10,509.58x = 15,764.42 × 3,114.18
  4. Step 4: Simplify right side
    10,509.58x = 49,093,241.48
  5. Step 5: Solve for x
    x = 49,093,241.48/10,509.58
  6. Step 6: Final answer
    x = 4,671.28

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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.