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Finding the Fourth Proportional to 7,913.42, 10,913.29 and 6,794.00

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Solution

The fourth proportional to 7,913.42, 10,913.29 and 6,794.00 is: 9,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913.42 : 10,913.29 = 6,794.00 : x
  2. Step 2: Convert to fraction form
    7,913.42/10,913.29 = 6,794.00/x
  3. Step 3: Cross multiply
    7,913.42x = 10,913.29 × 6,794.00
  4. Step 4: Simplify right side
    7,913.42x = 74,144,820.71
  5. Step 5: Solve for x
    x = 74,144,820.71/7,913.42
  6. Step 6: Final answer
    x = 9,369.51

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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.