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Finding the Fourth Proportional to 11,642.02, 17,462.85 and 2,876.93

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Solution

The fourth proportional to 11,642.02, 17,462.85 and 2,876.93 is: 4,315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.02 : 17,462.85 = 2,876.93 : x
  2. Step 2: Convert to fraction form
    11,642.02/17,462.85 = 2,876.93/x
  3. Step 3: Cross multiply
    11,642.02x = 17,462.85 × 2,876.93
  4. Step 4: Simplify right side
    11,642.02x = 50,239,409.22
  5. Step 5: Solve for x
    x = 50,239,409.22/11,642.02
  6. Step 6: Final answer
    x = 4,315.35

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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.