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Finding the Fourth Proportional to 7,160.01, 10,740.01 and 1,965.88

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Solution

The fourth proportional to 7,160.01, 10,740.01 and 1,965.88 is: 2,948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.01 : 10,740.01 = 1,965.88 : x
  2. Step 2: Convert to fraction form
    7,160.01/10,740.01 = 1,965.88/x
  3. Step 3: Cross multiply
    7,160.01x = 10,740.01 × 1,965.88
  4. Step 4: Simplify right side
    7,160.01x = 21,113,570.86
  5. Step 5: Solve for x
    x = 21,113,570.86/7,160.01
  6. Step 6: Final answer
    x = 2,948.82

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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.