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Finding the Fourth Proportional to 7,130.96, 10,698.14 and 2,133.75

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Solution

The fourth proportional to 7,130.96, 10,698.14 and 2,133.75 is: 3,201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.96 : 10,698.14 = 2,133.75 : x
  2. Step 2: Convert to fraction form
    7,130.96/10,698.14 = 2,133.75/x
  3. Step 3: Cross multiply
    7,130.96x = 10,698.14 × 2,133.75
  4. Step 4: Simplify right side
    7,130.96x = 22,827,145.56
  5. Step 5: Solve for x
    x = 22,827,145.56/7,130.96
  6. Step 6: Final answer
    x = 3,201.13

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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.