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Finding the Fourth Proportional to 10,914.38, 15,061.84 and 5,946.38

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Solution

The fourth proportional to 10,914.38, 15,061.84 and 5,946.38 is: 8,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.38 : 15,061.84 = 5,946.38 : x
  2. Step 2: Convert to fraction form
    10,914.38/15,061.84 = 5,946.38/x
  3. Step 3: Cross multiply
    10,914.38x = 15,061.84 × 5,946.38
  4. Step 4: Simplify right side
    10,914.38x = 89,563,424.14
  5. Step 5: Solve for x
    x = 89,563,424.14/10,914.38
  6. Step 6: Final answer
    x = 8,206.00

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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.