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Finding the Fourth Proportional to 10,981.83, 15,154.98 and 5,946.06

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Solution

The fourth proportional to 10,981.83, 15,154.98 and 5,946.06 is: 8,205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,981.83 : 15,154.98 = 5,946.06 : x
  2. Step 2: Convert to fraction form
    10,981.83/15,154.98 = 5,946.06/x
  3. Step 3: Cross multiply
    10,981.83x = 15,154.98 × 5,946.06
  4. Step 4: Simplify right side
    10,981.83x = 90,112,420.38
  5. Step 5: Solve for x
    x = 90,112,420.38/10,981.83
  6. Step 6: Final answer
    x = 8,205.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.