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Finding the Fourth Proportional to 11,307, 16,948.92 and 4,737

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Solution

The fourth proportional to 11,307, 16,948.92 and 4,737 is: 7,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307 : 16,948.92 = 4,737 : x
  2. Step 2: Convert to fraction form
    11,307/16,948.92 = 4,737/x
  3. Step 3: Cross multiply
    11,307x = 16,948.92 × 4,737
  4. Step 4: Simplify right side
    11,307x = 80,287,034.04
  5. Step 5: Solve for x
    x = 80,287,034.04/11,307
  6. Step 6: Final answer
    x = 7,100.65

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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.