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Finding the Fourth Proportional to 11,873.66, 17,810.51 and 4,082.48

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Solution

The fourth proportional to 11,873.66, 17,810.51 and 4,082.48 is: 6,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.66 : 17,810.51 = 4,082.48 : x
  2. Step 2: Convert to fraction form
    11,873.66/17,810.51 = 4,082.48/x
  3. Step 3: Cross multiply
    11,873.66x = 17,810.51 × 4,082.48
  4. Step 4: Simplify right side
    11,873.66x = 72,710,941.40
  5. Step 5: Solve for x
    x = 72,710,941.40/11,873.66
  6. Step 6: Final answer
    x = 6,123.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.