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Finding the Fourth Proportional to 7,134.96, 10,698.45 and 2,203.20

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Solution

The fourth proportional to 7,134.96, 10,698.45 and 2,203.20 is: 3,303.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.96 : 10,698.45 = 2,203.20 : x
  2. Step 2: Convert to fraction form
    7,134.96/10,698.45 = 2,203.20/x
  3. Step 3: Cross multiply
    7,134.96x = 10,698.45 × 2,203.20
  4. Step 4: Simplify right side
    7,134.96x = 23,570,825.04
  5. Step 5: Solve for x
    x = 23,570,825.04/7,134.96
  6. Step 6: Final answer
    x = 3,303.57

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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.