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Finding the Fourth Proportional to 7,926.40, 10,938.02 and 4,389.40

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Solution

The fourth proportional to 7,926.40, 10,938.02 and 4,389.40 is: 6,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926.40 : 10,938.02 = 4,389.40 : x
  2. Step 2: Convert to fraction form
    7,926.40/10,938.02 = 4,389.40/x
  3. Step 3: Cross multiply
    7,926.40x = 10,938.02 × 4,389.40
  4. Step 4: Simplify right side
    7,926.40x = 48,011,344.99
  5. Step 5: Solve for x
    x = 48,011,344.99/7,926.40
  6. Step 6: Final answer
    x = 6,057.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.