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Finding the Fourth Proportional to 10,188.38, 14,068.28 and 8,300.28

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Solution

The fourth proportional to 10,188.38, 14,068.28 and 8,300.28 is: 11,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.38 : 14,068.28 = 8,300.28 : x
  2. Step 2: Convert to fraction form
    10,188.38/14,068.28 = 8,300.28/x
  3. Step 3: Cross multiply
    10,188.38x = 14,068.28 × 8,300.28
  4. Step 4: Simplify right side
    10,188.38x = 116,770,663.12
  5. Step 5: Solve for x
    x = 116,770,663.12/10,188.38
  6. Step 6: Final answer
    x = 11,461.16

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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.