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Finding the Fourth Proportional to 10,518.66, 14,516.06 and 6,043.28

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Solution

The fourth proportional to 10,518.66, 14,516.06 and 6,043.28 is: 8,339.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.66 : 14,516.06 = 6,043.28 : x
  2. Step 2: Convert to fraction form
    10,518.66/14,516.06 = 6,043.28/x
  3. Step 3: Cross multiply
    10,518.66x = 14,516.06 × 6,043.28
  4. Step 4: Simplify right side
    10,518.66x = 87,724,512.28
  5. Step 5: Solve for x
    x = 87,724,512.28/10,518.66
  6. Step 6: Final answer
    x = 8,339.89

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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.