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Finding the Fourth Proportional to 7,167.93, 10,740.12 and 6,894.55

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Solution

The fourth proportional to 7,167.93, 10,740.12 and 6,894.55 is: 10,330.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.93 : 10,740.12 = 6,894.55 : x
  2. Step 2: Convert to fraction form
    7,167.93/10,740.12 = 6,894.55/x
  3. Step 3: Cross multiply
    7,167.93x = 10,740.12 × 6,894.55
  4. Step 4: Simplify right side
    7,167.93x = 74,048,294.35
  5. Step 5: Solve for x
    x = 74,048,294.35/7,167.93
  6. Step 6: Final answer
    x = 10,330.50

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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.