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Finding the Fourth Proportional to 7,309.84, 10,964.80 and 2,926.08

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Solution

The fourth proportional to 7,309.84, 10,964.80 and 2,926.08 is: 4,389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.84 : 10,964.80 = 2,926.08 : x
  2. Step 2: Convert to fraction form
    7,309.84/10,964.80 = 2,926.08/x
  3. Step 3: Cross multiply
    7,309.84x = 10,964.80 × 2,926.08
  4. Step 4: Simplify right side
    7,309.84x = 32,083,881.98
  5. Step 5: Solve for x
    x = 32,083,881.98/7,309.84
  6. Step 6: Final answer
    x = 4,389.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.