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Finding the Fourth Proportional to 7,000.68, 10,497.75 and 3,712.89

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Solution

The fourth proportional to 7,000.68, 10,497.75 and 3,712.89 is: 5,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.68 : 10,497.75 = 3,712.89 : x
  2. Step 2: Convert to fraction form
    7,000.68/10,497.75 = 3,712.89/x
  3. Step 3: Cross multiply
    7,000.68x = 10,497.75 × 3,712.89
  4. Step 4: Simplify right side
    7,000.68x = 38,976,978.28
  5. Step 5: Solve for x
    x = 38,976,978.28/7,000.68
  6. Step 6: Final answer
    x = 5,567.60

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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.