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Finding the Fourth Proportional to 10,114.63, 15,165.41 and 4,849.52

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Solution

The fourth proportional to 10,114.63, 15,165.41 and 4,849.52 is: 7,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.63 : 15,165.41 = 4,849.52 : x
  2. Step 2: Convert to fraction form
    10,114.63/15,165.41 = 4,849.52/x
  3. Step 3: Cross multiply
    10,114.63x = 15,165.41 × 4,849.52
  4. Step 4: Simplify right side
    10,114.63x = 73,544,859.03
  5. Step 5: Solve for x
    x = 73,544,859.03/10,114.63
  6. Step 6: Final answer
    x = 7,271.14

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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.