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Finding the Fourth Proportional to 7,306.16, 10,964.93 and 2,926.49

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Solution

The fourth proportional to 7,306.16, 10,964.93 and 2,926.49 is: 4,392.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.16 : 10,964.93 = 2,926.49 : x
  2. Step 2: Convert to fraction form
    7,306.16/10,964.93 = 2,926.49/x
  3. Step 3: Cross multiply
    7,306.16x = 10,964.93 × 2,926.49
  4. Step 4: Simplify right side
    7,306.16x = 32,088,770.78
  5. Step 5: Solve for x
    x = 32,088,770.78/7,306.16
  6. Step 6: Final answer
    x = 4,392.01

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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.