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Finding the Fourth Proportional to 10,509.11, 15,765.96 and 3,114.14

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Solution

The fourth proportional to 10,509.11, 15,765.96 and 3,114.14 is: 4,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.11 : 15,765.96 = 3,114.14 : x
  2. Step 2: Convert to fraction form
    10,509.11/15,765.96 = 3,114.14/x
  3. Step 3: Cross multiply
    10,509.11x = 15,765.96 × 3,114.14
  4. Step 4: Simplify right side
    10,509.11x = 49,097,457.77
  5. Step 5: Solve for x
    x = 49,097,457.77/10,509.11
  6. Step 6: Final answer
    x = 4,671.90

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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.