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Finding the Fourth Proportional to 10,491.38, 14,478.16 and 6,015.40

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Solution

The fourth proportional to 10,491.38, 14,478.16 and 6,015.40 is: 8,301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.38 : 14,478.16 = 6,015.40 : x
  2. Step 2: Convert to fraction form
    10,491.38/14,478.16 = 6,015.40/x
  3. Step 3: Cross multiply
    10,491.38x = 14,478.16 × 6,015.40
  4. Step 4: Simplify right side
    10,491.38x = 87,091,923.66
  5. Step 5: Solve for x
    x = 87,091,923.66/10,491.38
  6. Step 6: Final answer
    x = 8,301.28

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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.