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Finding the Fourth Proportional to 10,696, 16,042.08 and 4,851.20

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Solution

The fourth proportional to 10,696, 16,042.08 and 4,851.20 is: 7,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696 : 16,042.08 = 4,851.20 : x
  2. Step 2: Convert to fraction form
    10,696/16,042.08 = 4,851.20/x
  3. Step 3: Cross multiply
    10,696x = 16,042.08 × 4,851.20
  4. Step 4: Simplify right side
    10,696x = 77,823,338.50
  5. Step 5: Solve for x
    x = 77,823,338.50/10,696
  6. Step 6: Final answer
    x = 7,275.93

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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.