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Finding the Fourth Proportional to 10,657.67, 15,983.91 and 4,731.30

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Solution

The fourth proportional to 10,657.67, 15,983.91 and 4,731.30 is: 7,095.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.67 : 15,983.91 = 4,731.30 : x
  2. Step 2: Convert to fraction form
    10,657.67/15,983.91 = 4,731.30/x
  3. Step 3: Cross multiply
    10,657.67x = 15,983.91 × 4,731.30
  4. Step 4: Simplify right side
    10,657.67x = 75,624,673.38
  5. Step 5: Solve for x
    x = 75,624,673.38/10,657.67
  6. Step 6: Final answer
    x = 7,095.80

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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.