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Finding the Fourth Proportional to 11,671.30, 17,498.67 and 5,424.67

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Solution

The fourth proportional to 11,671.30, 17,498.67 and 5,424.67 is: 8,133.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.30 : 17,498.67 = 5,424.67 : x
  2. Step 2: Convert to fraction form
    11,671.30/17,498.67 = 5,424.67/x
  3. Step 3: Cross multiply
    11,671.30x = 17,498.67 × 5,424.67
  4. Step 4: Simplify right side
    11,671.30x = 94,924,510.19
  5. Step 5: Solve for x
    x = 94,924,510.19/11,671.30
  6. Step 6: Final answer
    x = 8,133.16

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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.