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Finding the Fourth Proportional to 10,006.32, 13,802.04 and 6,023.28

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Solution

The fourth proportional to 10,006.32, 13,802.04 and 6,023.28 is: 8,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.32 : 13,802.04 = 6,023.28 : x
  2. Step 2: Convert to fraction form
    10,006.32/13,802.04 = 6,023.28/x
  3. Step 3: Cross multiply
    10,006.32x = 13,802.04 × 6,023.28
  4. Step 4: Simplify right side
    10,006.32x = 83,133,551.49
  5. Step 5: Solve for x
    x = 83,133,551.49/10,006.32
  6. Step 6: Final answer
    x = 8,308.10

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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.