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Finding the Fourth Proportional to 10,491.54, 14,478.06 and 6,017.94

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Solution

The fourth proportional to 10,491.54, 14,478.06 and 6,017.94 is: 8,304.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.54 : 14,478.06 = 6,017.94 : x
  2. Step 2: Convert to fraction form
    10,491.54/14,478.06 = 6,017.94/x
  3. Step 3: Cross multiply
    10,491.54x = 14,478.06 × 6,017.94
  4. Step 4: Simplify right side
    10,491.54x = 87,128,096.40
  5. Step 5: Solve for x
    x = 87,128,096.40/10,491.54
  6. Step 6: Final answer
    x = 8,304.61

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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.