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Finding the Fourth Proportional to 10,006.64, 13,807.24 and 6,028

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Solution

The fourth proportional to 10,006.64, 13,807.24 and 6,028 is: 8,317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.64 : 13,807.24 = 6,028 : x
  2. Step 2: Convert to fraction form
    10,006.64/13,807.24 = 6,028/x
  3. Step 3: Cross multiply
    10,006.64x = 13,807.24 × 6,028
  4. Step 4: Simplify right side
    10,006.64x = 83,230,042.72
  5. Step 5: Solve for x
    x = 83,230,042.72/10,006.64
  6. Step 6: Final answer
    x = 8,317.48

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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.