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Finding the Fourth Proportional to 10,001.64, 13,800.36 and 6,023.01

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Solution

The fourth proportional to 10,001.64, 13,800.36 and 6,023.01 is: 8,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.64 : 13,800.36 = 6,023.01 : x
  2. Step 2: Convert to fraction form
    10,001.64/13,800.36 = 6,023.01/x
  3. Step 3: Cross multiply
    10,001.64x = 13,800.36 × 6,023.01
  4. Step 4: Simplify right side
    10,001.64x = 83,119,706.28
  5. Step 5: Solve for x
    x = 83,119,706.28/10,001.64
  6. Step 6: Final answer
    x = 8,310.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.