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Finding the Fourth Proportional to 10,000.31, 13,802.12 and 7,606.44

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Solution

The fourth proportional to 10,000.31, 13,802.12 and 7,606.44 is: 10,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.31 : 13,802.12 = 7,606.44 : x
  2. Step 2: Convert to fraction form
    10,000.31/13,802.12 = 7,606.44/x
  3. Step 3: Cross multiply
    10,000.31x = 13,802.12 × 7,606.44
  4. Step 4: Simplify right side
    10,000.31x = 104,984,959.62
  5. Step 5: Solve for x
    x = 104,984,959.62/10,000.31
  6. Step 6: Final answer
    x = 10,498.18

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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.