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Finding the Fourth Proportional to 10,203.90, 15,267.21 and 6,046.14

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Solution

The fourth proportional to 10,203.90, 15,267.21 and 6,046.14 is: 9,046.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.90 : 15,267.21 = 6,046.14 : x
  2. Step 2: Convert to fraction form
    10,203.90/15,267.21 = 6,046.14/x
  3. Step 3: Cross multiply
    10,203.90x = 15,267.21 × 6,046.14
  4. Step 4: Simplify right side
    10,203.90x = 92,307,689.07
  5. Step 5: Solve for x
    x = 92,307,689.07/10,203.90
  6. Step 6: Final answer
    x = 9,046.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.