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Finding the Fourth Proportional to 7,098.75, 10,649.50 and 3,203.16

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Solution

The fourth proportional to 7,098.75, 10,649.50 and 3,203.16 is: 4,805.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.75 : 10,649.50 = 3,203.16 : x
  2. Step 2: Convert to fraction form
    7,098.75/10,649.50 = 3,203.16/x
  3. Step 3: Cross multiply
    7,098.75x = 10,649.50 × 3,203.16
  4. Step 4: Simplify right side
    7,098.75x = 34,112,004.48
  5. Step 5: Solve for x
    x = 34,112,004.48/7,098.75
  6. Step 6: Final answer
    x = 4,805.35

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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.